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MCQ Practice Test & Solutions: Practice Test for AP Precalculus - 1 (40 Questions)

You can prepare effectively for Grade 10 AP Precalculus with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Practice Test for AP Precalculus - 1". These 40 questions have been designed by the experts with the latest curriculum of Grade 10 2026, to help you master the concept.

Test Highlights:

- Format: Multiple Choice Questions (MCQ)
- Duration: 80 minutes
- Number of Questions: 40

Practice Test for AP Precalculus - 1 - Question 1

A polynomial function is given by f(x) = (x + 2)²(x − 3)(x + 1)³. Which of the following correctly identifies the zero at which the graph of f touches but does not cross the x-axis?

A. x = −2 only, because it has even multiplicity
B. x = 3 only, because it has odd multiplicity
C. x = −1 only, because it has odd multiplicity
D. Both x = 3 and x = −1, because they share the same degree factor

Detailed Solution: Question 1

Even multiplicity at x = -2 causes touching; odd multiplicities at x = 3 and x = -1 cause crossing.

Practice Test for AP Precalculus - 1 - Question 2

A rational function is defined by f(x) = (x² − 9) / (x² − x − 6). Which of the following correctly describes all discontinuities and the horizontal asymptote of f?

A. Vertical asymptote at x = 3; hole at x = −2; horizontal asymptote y = 1
B. Vertical asymptote at x = −2; hole at x = 3; horizontal asymptote y = 1
C. Vertical asymptotes at x = 3 and x = −2; horizontal asymptote y = 0
D. Hole at x = −2; vertical asymptote at x = 3; horizontal asymptote y = 0

Detailed Solution: Question 2

Numerator: (x-3)(x+3); denominator: (x-3)(x+2). Factor cancels giving hole at x=3, vertical asymptote at x=-2, horizontal asymptote y=1.

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Practice Test for AP Precalculus - 1 - Question 3

A wildlife biologist models a declining animal population using N(t) = 1200(0.75)^t, where t is measured in years. Which of the following correctly interprets the value 0.75 in this model?

A. The population has a decay factor of 0.25 per year
B. The population decreases by 75% per year
C. The population decreases by 25% per year
D. The initial population grows at a rate of 1200 per year

Detailed Solution: Question 3

Decay factor is 0.75; decay rate = 1 - 0.75 = 0.25, so population decreases by 25% per year.

Practice Test for AP Precalculus - 1 - Question 4

A sinusoidal function is given by f(x) = −3 sin(2x + π/4) + 5. Which of the following correctly identifies the amplitude, period, and midline of this function?

A. Amplitude: 3; Period: π; Midline: y = 5
B. Amplitude: −3; Period: π; Midline: y = 5
C. Amplitude: 3; Period: 2π; Midline: y = 5
D. Amplitude: 3; Period: π; Midline: y = 0

Detailed Solution: Question 4

Amplitude = |-3| = 3; period = 2π/2 = π; midline y = 5 (vertical shift D).

Practice Test for AP Precalculus - 1 - Question 5

Matrix A has dimensions 2 × 3 and matrix B has dimensions 3 × 2. What are the dimensions of the product matrix AB?

A. 3 × 3
B. 2 × 3
C. 3 × 2
D. 2 × 2

Detailed Solution: Question 5

Product AB: rows of A × columns of B = 2 × 2.

Practice Test for AP Precalculus - 1 - Question 6

A rational function is given by f(x) = (x² + 3x + 5) / (x + 2). An analyst determines the slant asymptote of f using polynomial long division. Which of the following is the equation of the slant asymptote?

A. y = x + 3
B. y = x + 1
C. y = x + 5
D. y = x − 1

Detailed Solution: Question 6

Dividing x² + 3x + 5 by (x + 2): quotient is x + 1 with remainder 3. Slant asymptote: y = x + 1.

Practice Test for AP Precalculus - 1 - Question 7

A researcher plots a set of data on a coordinate plane where the y-axis uses a logarithmic scale and the x-axis uses a linear scale (a semi-log plot). The plotted data appear to follow a straight line. Which of the following best describes the relationship between the variables in the original (non-transformed) data?

A. The data follow a linear model
B. The data follow a quadratic model
C. The data follow an exponential model
D. The data follow a logarithmic model

Detailed Solution: Question 7

Linear pattern on a semi-log plot indicates the original data follows an exponential model.

Practice Test for AP Precalculus - 1 - Question 8

Ocean tides at a coastal location are modeled by the function h(t) = 6 sin(π/6 · t) + 10, where h is the water height in feet and t is time in hours. What is the maximum water height predicted by this model?

A. 6 feet
B. 10 feet
C. 12 feet
D. 16 feet

Detailed Solution: Question 8

Maximum = midline + amplitude = 10 + 6 = 16 feet.

Practice Test for AP Precalculus - 1 - Question 9

A student is asked to find the inverse of f(x) = 2x + 6. The student claims that f⁻¹(x) = 1 / (2x + 6) because “inverse” means the reciprocal of the function. Which of the following gives the correct inverse function?

A. f⁻¹(x) = (x − 6) / 2
B. f⁻¹(x) = 1 / (2x + 6)
C. f⁻¹(x) = (x + 6) / 2
D. f⁻¹(x) = 2x − 6

Detailed Solution: Question 9

Solve y = 2x + 6 for x: x = (y - 6)/2. So f⁻¹(x) = (x - 6)/2. Reciprocal ≠ inverse.

Practice Test for AP Precalculus - 1 - Question 10

Solve for x: 3^{(2x − 1)} = 45. Which of the following gives the exact solution?

A. x = (log₃ 45) / 2
B. x = log₃ 45 − 1
C. x = (1 + log₃ 45) / 2
D. x = (log 45 − log 3) / 2

Detailed Solution: Question 10

Take log base 3: 2x - 1 = log₃45; so x = (1 + log₃45)/2.

Practice Test for AP Precalculus - 1 - Question 11

A curve is defined by the parametric equations x(t) = 2t + 1 and y(t) = t² − 3. Which of the following represents the rectangular equation obtained by eliminating the parameter t?

A. y = (x − 1)² − 3
B. y = (x + 1)² / 4 − 3
C. y = x² / 4 − 3
D. y = (x − 1)² / 4 − 3

Detailed Solution: Question 11

From x = 2t + 1, t = (x-1)/2. Substitute: y = ((x-1)/2)² - 3 = (x-1)²/4 - 3.

Practice Test for AP Precalculus - 1 - Question 12

Let f(x) = −2x⁵ + 3x³ − x. Which of the following correctly describes the end behavior of f?

A. As x → +∞, f(x) → −∞ and as x → −∞, f(x) → +∞
B. As x → +∞, f(x) → +∞ and as x → −∞, f(x) → −∞
C. As x → +∞, f(x) → −∞ and as x → −∞, f(x) → −∞
D. As x → +∞, f(x) → +∞ and as x → −∞, f(x) → +∞

Detailed Solution: Question 12

Leading term -2x⁵: odd degree, negative leading coefficient → falls right, rises left.

Practice Test for AP Precalculus - 1 - Question 13

A point in polar coordinates is given as (4, π/3). Which of the following gives the correct rectangular coordinates (x, y) of this point?

A. (2√3, 2)
B. (2, 2√3)
C. (2, 2)
D. (2√3, 2√3)

Detailed Solution: Question 13

x = 4cos(π/3) = 4(1/2) = 2; y = 4sin(π/3) = 4(√3/2) = 2√3. Rectangular: (2, 2√3).

Practice Test for AP Precalculus - 1 - Question 14

Which of the following is equivalent to log₂(8x³) − log₂(2x), where x > 0?

A. 2 log₂ x + 1
B. 3 log₂ x − log₂(2x)
C. 2 log₂ x + 2
D. log₂ x + 2

Detailed Solution: Question 14

log₂(8x³/2x) = log₂(4x²) = log₂4 + 2log₂x = 2 + 2log₂x.

Practice Test for AP Precalculus - 1 - Question 15

Let u = ⟨3, 4⟩ and v = ⟨−1, 2⟩. What is the value of the dot product u · v?

A. −3
B. 10
C. 7
D. 5

Detailed Solution: Question 15

u · v = 3(-1) + 4(2) = -3 + 8 = 5.

Practice Test for AP Precalculus - 1 - Question 16

Let f(x) = 3x³ − 2x² + 5x − 4. By the Remainder Theorem, what is the remainder when f(x) is divided by (x − 2)?

A. 22
B. 18
C. 26
D. 10

Detailed Solution: Question 16

f(2) = 3(8) - 2(4) + 5(2) - 4 = 24 - 8 + 10 - 4 = 22.

Practice Test for AP Precalculus - 1 - Question 17

A researcher models average monthly temperature (°C) using T(m) = 18 sin(π/6 · m − π/2) + 22, where m = 1 corresponds to January. What is the minimum temperature predicted by this model?

A. 18°C
B. 4°C
C. 22°C
D. 40°C

Detailed Solution: Question 17

Minimum = midline - amplitude = 22 - 18 = 4°C.

Practice Test for AP Precalculus - 1 - Question 18

An investor deposits $5,000 into an account earning 4% annual interest compounded continuously. Which of the following expressions gives the value of the account after 3 years?

A. A = 5000(1.04)³
B. A = 5000(1 + 0.04/12)³⁶
C. A = 5000e^0.12
D. A = 5000(1 + 0.04)^1/3

Detailed Solution: Question 18

Continuous compounding: A = Pe^(rt) = 5000e^(0.04×3) = 5000e^(0.12).

Practice Test for AP Precalculus - 1 - Question 19

A piecewise function is defined as:
f(x) = x² + 1, for x < 0
f(x) = 2x − 3, for x ≥ 0
What is the value of f(−2) + f(3)?

A. 2
B. 6
C. 10
D. 8

Detailed Solution: Question 19

f(-2) = (-2)² + 1 = 5; f(3) = 2(3) - 3 = 3; sum = 8.

Practice Test for AP Precalculus - 1 - Question 20

A system of equations is represented by the matrix equation AX = B, where:
A =
2 1
3 2
, B =
5
8
Using the inverse matrix method, what is the solution (x, y)?

A. x = 2, y = 1
B. x = 1, y = 2
C. x = 3, y = −1
D. x = 2, y = −1

Detailed Solution: Question 20

det(A) = 1; A⁻¹ = [2 -1; -3 2]; X = A⁻¹B = [2(5)-1(8); -3(5)+2(8)] = [2; 1].

Practice Test for AP Precalculus - 1 - Question 21

Let f(x) = x² + 1 and g(x) = 3x − 2. Which of the following gives (f ∘ g)(x)?

A. 3x² − 1
B. 9x² − 12x + 5
C. 9x² + 1
D. 3x² − 4x + 1

Detailed Solution: Question 21

(f∘g)(x) = f(3x-2) = (3x-2)² + 1 = 9x² - 12x + 4 + 1 = 9x² - 12x + 5.

Practice Test for AP Precalculus - 1 - Question 22

It is given that sin θ = 3/5 and θ is in Quadrant II. What is the exact value of cos θ?

A. 4/5
B. −3/4
C. −4/5
D. 3/4

Detailed Solution: Question 22

cos²θ = 1 - 9/25 = 16/25; in QII, cos θ < 0,="" so="" cos="" θ="-4/5." 0,="" so="" cos="" θ="">

Practice Test for AP Precalculus - 1 - Question 23

A table of values for a function f is shown below:
t 0 1 2 3
f(t) 80 60 45 33.75
Which of the following best describes the function type and the key parameter that confirms this classification?

t	0	1	2	3
f(t)	80	60	45	33.75

A. Linear; common difference = −20
B. Exponential; growth factor = 1.25
C. Quadratic; second differences are constant
D. Exponential; decay factor = 0.75

Detailed Solution: Question 23

Ratios: 60/80 = 45/60 = 33.75/45 = 0.75 (constant) → geometric/exponential with decay factor 0.75.

Practice Test for AP Precalculus - 1 - Question 24

A particle moves along a path described by the parametric equations x(t) = cos(t) and y(t) = sin(t) for 0 ≤ t ≤ 2π. Which of the following correctly describes the motion of the particle?

A. The particle traces a circle of radius 1 centered at the origin in the counterclockwise direction, starting at (1, 0)
B. The particle traces a circle of radius 1 centered at the origin in the clockwise direction, starting at (0, 1)
C. The particle traces an ellipse centered at the origin, moving counterclockwise
D. The particle traces a circle of radius 1 centered at the origin in the clockwise direction, starting at (1, 0)

Detailed Solution: Question 24

x² + y² = 1 (unit circle); at t=0: (1,0); as t increases, particle moves counterclockwise.

Practice Test for AP Precalculus - 1 - Question 25

Let f(x) = 2x³ − 3x² − 11x + 6. Using the Rational Zero Theorem and the Factor Theorem, which of the following lists all real zeros of f?

A. x = 3, x = −2, x = 3/2
B. x = 3, x = 1/2, x = −2
C. x = −3, x = 1/2, x = 2
D. x = 3, x = −1/2, x = 2

Detailed Solution: Question 25

Test x=3: f(3)=0. Divide to get 2x²+3x-2=(2x-1)(x+2). Zeros: x=3, x=1/2, x=-2.

Practice Test for AP Precalculus - 1 - Question 26

Which of the following correctly states the range of the inverse cosine function, arccos(x)?

A. [−π/2, π/2]
B. (−π/2, π/2)
C. [0, π]
D. [−π, π]

Detailed Solution: Question 26

arccos has range [0, π]; arcsin has range [-π/2, π/2]. These are distinct restricted domains.

Practice Test for AP Precalculus - 1 - Question 27

Solve the equation ln(2x + 3) = 4 for x. Which of the following gives the exact solution?

A. x = (e⁴ + 3) / 2
B. x = (4 − 3) / 2
C. x = e⁴ / 2 − 3
D. x = (e⁴ − 3) / 2

Detailed Solution: Question 27

2x + 3 = e⁴; 2x = e⁴ - 3; x = (e⁴ - 3)/2.

Practice Test for AP Precalculus - 1 - Question 28

Let f(x) = x² − 2x + 1. What is the average rate of change of f on the interval [1, 4]?

A. 3
B. 6
C. 9
D. 1

Detailed Solution: Question 28

f(1) = 0; f(4) = 16 - 8 + 1 = 9; AROC = (9 - 0)/(4 - 1) = 3.

Practice Test for AP Precalculus - 1 - Question 29

Let u = ⟨1, √3⟩ and v = ⟨2, 0⟩. What is the measure of the angle θ between u and v?

A. π/6
B. π/3
C. π/4
D. π/2

Detailed Solution: Question 29

|u|=2, |v|=2; u·v=2; cosθ = 2/(2·2) = 1/2; θ = π/3.

Practice Test for AP Precalculus - 1 - Question 30

What is the exact value of cos(5π/6)?

A. √3 / 2
B. 1/2
C. −√3 / 2
D. −1/2

Detailed Solution: Question 30

5π/6 is in QII; reference angle = π/6; cos(π/6) = √3/2; in QII cosine is negative: -√3/2.

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Practice Test for AP Precalculus - 1 Grade 10 MCQs & solutions - Free

MCQ Practice Test & Solutions: Practice Test for AP Precalculus - 1 (40 Questions)

A polynomial function is given by f(x) = (x + 2)²(x − 3)(x + 1)³. Which of the following correctly identifies the zero at which the graph of f touches but does not cross the x-axis?

A rational function is defined by f(x) = (x² − 9) / (x² − x − 6). Which of the following correctly describes all discontinuities and the horizontal asymptote of f?

A wildlife biologist models a declining animal population using N(t) = 1200(0.75)^t, where t is measured in years. Which of the following correctly interprets the value 0.75 in this model?

A sinusoidal function is given by f(x) = −3 sin(2x + π/4) + 5. Which of the following correctly identifies the amplitude, period, and midline of this function?

Matrix A has dimensions 2 × 3 and matrix B has dimensions 3 × 2. What are the dimensions of the product matrix AB?

A rational function is given by f(x) = (x² + 3x + 5) / (x + 2). An analyst determines the slant asymptote of f using polynomial long division. Which of the following is the equation of the slant asymptote?

Ocean tides at a coastal location are modeled by the function h(t) = 6 sin(π/6 · t) + 10, where h is the water height in feet and t is time in hours. What is the maximum water height predicted by this model?

A student is asked to find the inverse of f(x) = 2x + 6. The student claims that f⁻¹(x) = 1 / (2x + 6) because “inverse” means the reciprocal of the function. Which of the following gives the correct inverse function?

Solve for x: 3^{(2x − 1)} = 45. Which of the following gives the exact solution?

A curve is defined by the parametric equations x(t) = 2t + 1 and y(t) = t² − 3. Which of the following represents the rectangular equation obtained by eliminating the parameter t?

Let f(x) = −2x⁵ + 3x³ − x. Which of the following correctly describes the end behavior of f?

A point in polar coordinates is given as (4, π/3). Which of the following gives the correct rectangular coordinates (x, y) of this point?

Which of the following is equivalent to log₂(8x³) − log₂(2x), where x > 0?

Let u = ⟨3, 4⟩ and v = ⟨−1, 2⟩. What is the value of the dot product u · v?

Let f(x) = 3x³ − 2x² + 5x − 4. By the Remainder Theorem, what is the remainder when f(x) is divided by (x − 2)?

A researcher models average monthly temperature (°C) using T(m) = 18 sin(π/6 · m − π/2) + 22, where m = 1 corresponds to January. What is the minimum temperature predicted by this model?

An investor deposits $5,000 into an account earning 4% annual interest compounded continuously. Which of the following expressions gives the value of the account after 3 years?

A piecewise function is defined as:
f(x) = x² + 1, for x < 0
f(x) = 2x − 3, for x ≥ 0
What is the value of f(−2) + f(3)?

A system of equations is represented by the matrix equation AX = B, where:
A =
2 1
3 2
, B =
5
8
Using the inverse matrix method, what is the solution (x, y)?

Let f(x) = x² + 1 and g(x) = 3x − 2. Which of the following gives (f ∘ g)(x)?

It is given that sin θ = 3/5 and θ is in Quadrant II. What is the exact value of cos θ?

A table of values for a function f is shown below:
t 0 1 2 3
f(t) 80 60 45 33.75
Which of the following best describes the function type and the key parameter that confirms this classification?

A particle moves along a path described by the parametric equations x(t) = cos(t) and y(t) = sin(t) for 0 ≤ t ≤ 2π. Which of the following correctly describes the motion of the particle?

Let f(x) = 2x³ − 3x² − 11x + 6. Using the Rational Zero Theorem and the Factor Theorem, which of the following lists all real zeros of f?

Which of the following correctly states the range of the inverse cosine function, arccos(x)?

Solve the equation ln(2x + 3) = 4 for x. Which of the following gives the exact solution?

Let f(x) = x² − 2x + 1. What is the average rate of change of f on the interval [1, 4]?

Let u = ⟨1, √3⟩ and v = ⟨2, 0⟩. What is the measure of the angle θ between u and v?

What is the exact value of cos(5π/6)?

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Practice Test for AP Precalculus - 1 Grade 10 MCQs & solutions - Free

MCQ Practice Test & Solutions: Practice Test for AP Precalculus - 1 (40 Questions)

A polynomial function is given by f(x) = (x + 2)2(x − 3)(x + 1)3. Which of the following correctly identifies the zero at which the graph of f touches but does not cross the x-axis?

A rational function is defined by f(x) = (x2 − 9) / (x2 − x − 6). Which of the following correctly describes all discontinuities and the horizontal asymptote of f?

A wildlife biologist models a declining animal population using N(t) = 1200(0.75)t, where t is measured in years. Which of the following correctly interprets the value 0.75 in this model?

A sinusoidal function is given by f(x) = −3 sin(2x + π/4) + 5. Which of the following correctly identifies the amplitude, period, and midline of this function?

Matrix A has dimensions 2 × 3 and matrix B has dimensions 3 × 2. What are the dimensions of the product matrix AB?

A rational function is given by f(x) = (x2 + 3x + 5) / (x + 2). An analyst determines the slant asymptote of f using polynomial long division. Which of the following is the equation of the slant asymptote?

Ocean tides at a coastal location are modeled by the function h(t) = 6 sin(π/6 · t) + 10, where h is the water height in feet and t is time in hours. What is the maximum water height predicted by this model?

A student is asked to find the inverse of f(x) = 2x + 6. The student claims that f−1(x) = 1 / (2x + 6) because “inverse” means the reciprocal of the function. Which of the following gives the correct inverse function?

Solve for x: 3(2x − 1) = 45. Which of the following gives the exact solution?

A curve is defined by the parametric equations x(t) = 2t + 1 and y(t) = t2 − 3. Which of the following represents the rectangular equation obtained by eliminating the parameter t?

Let f(x) = −2x5 + 3x3 − x. Which of the following correctly describes the end behavior of f?

A point in polar coordinates is given as (4, π/3). Which of the following gives the correct rectangular coordinates (x, y) of this point?

Which of the following is equivalent to log2(8x3) − log2(2x), where x > 0?

Let u = ⟨3, 4⟩ and v = ⟨−1, 2⟩. What is the value of the dot product u · v?

Let f(x) = 3x3 − 2x2 + 5x − 4. By the Remainder Theorem, what is the remainder when f(x) is divided by (x − 2)?

A researcher models average monthly temperature (°C) using T(m) = 18 sin(π/6 · m − π/2) + 22, where m = 1 corresponds to January. What is the minimum temperature predicted by this model?

An investor deposits $5,000 into an account earning 4% annual interest compounded continuously. Which of the following expressions gives the value of the account after 3 years?

A piecewise function is defined as:f(x) = x2 + 1, for x < 0f(x) = 2x − 3, for x ≥ 0What is the value of f(−2) + f(3)?

A system of equations is represented by the matrix equation AX = B, where:A = 2132, B = 58Using the inverse matrix method, what is the solution (x, y)?

Let f(x) = x2 + 1 and g(x) = 3x − 2. Which of the following gives (f ∘ g)(x)?

It is given that sin θ = 3/5 and θ is in Quadrant II. What is the exact value of cos θ?

A table of values for a function f is shown below:t0123f(t)80604533.75Which of the following best describes the function type and the key parameter that confirms this classification?

A particle moves along a path described by the parametric equations x(t) = cos(t) and y(t) = sin(t) for 0 ≤ t ≤ 2π. Which of the following correctly describes the motion of the particle?

Let f(x) = 2x3 − 3x2 − 11x + 6. Using the Rational Zero Theorem and the Factor Theorem, which of the following lists all real zeros of f?

Which of the following correctly states the range of the inverse cosine function, arccos(x)?

Solve the equation ln(2x + 3) = 4 for x. Which of the following gives the exact solution?

Let f(x) = x2 − 2x + 1. What is the average rate of change of f on the interval [1, 4]?

Let u = ⟨1, √3⟩ and v = ⟨2, 0⟩. What is the measure of the angle θ between u and v?

What is the exact value of cos(5π/6)?

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About this Grade 10 Practice Test

Explore more Grade 10 Study Resources

A polynomial function is given by f(x) = (x + 2)²(x − 3)(x + 1)³. Which of the following correctly identifies the zero at which the graph of f touches but does not cross the x-axis?

A rational function is defined by f(x) = (x² − 9) / (x² − x − 6). Which of the following correctly describes all discontinuities and the horizontal asymptote of f?

A wildlife biologist models a declining animal population using N(t) = 1200(0.75)^t, where t is measured in years. Which of the following correctly interprets the value 0.75 in this model?

A rational function is given by f(x) = (x² + 3x + 5) / (x + 2). An analyst determines the slant asymptote of f using polynomial long division. Which of the following is the equation of the slant asymptote?

A student is asked to find the inverse of f(x) = 2x + 6. The student claims that f⁻¹(x) = 1 / (2x + 6) because “inverse” means the reciprocal of the function. Which of the following gives the correct inverse function?

Solve for x: 3^{(2x − 1)} = 45. Which of the following gives the exact solution?

A curve is defined by the parametric equations x(t) = 2t + 1 and y(t) = t² − 3. Which of the following represents the rectangular equation obtained by eliminating the parameter t?

Let f(x) = −2x⁵ + 3x³ − x. Which of the following correctly describes the end behavior of f?

Which of the following is equivalent to log₂(8x³) − log₂(2x), where x > 0?

Let f(x) = 3x³ − 2x² + 5x − 4. By the Remainder Theorem, what is the remainder when f(x) is divided by (x − 2)?

A piecewise function is defined as:
f(x) = x² + 1, for x < 0
f(x) = 2x − 3, for x ≥ 0
What is the value of f(−2) + f(3)?

A system of equations is represented by the matrix equation AX = B, where:
A =
2 1
3 2
, B =
5
8
Using the inverse matrix method, what is the solution (x, y)?

Let f(x) = x² + 1 and g(x) = 3x − 2. Which of the following gives (f ∘ g)(x)?

A table of values for a function f is shown below:
t 0 1 2 3
f(t) 80 60 45 33.75
Which of the following best describes the function type and the key parameter that confirms this classification?

Let f(x) = 2x³ − 3x² − 11x + 6. Using the Rational Zero Theorem and the Factor Theorem, which of the following lists all real zeros of f?

Let f(x) = x² − 2x + 1. What is the average rate of change of f on the interval [1, 4]?