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The table above shows some values of the linear function f. Which of the following defines f ?
- a)f(n) = n − 3
- b)f(n) = 2n − 4
- c)f(n) = 3n − 5
- d)f(n) = 4n − 6
Correct answer is option 'C'. Can you explain this answer?
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The table above shows some values of the linear function f. Which of t...
Choice C is correct. The graph of y = f(n) in the coordinate plane is a line that passes through each of the points given in the table. From the table, one can see that an increase of 1 unit in n results in an increase of 3 units in f(n); for example, f(2) − f(1) = 1 − (−2) = 3. Therefore, the graph of y = f(n) in the coordinate plane is a line with slope 3. Only choice C is a line with slope 3. The y-intercept of the line is the value of f(0). Since an increase of 1 unit in n results in an increase of 3 units in f(n), it follows that f(1) − f(0) = 3. Since f(1) = −2, it follows that f(0) = f(1) − 3 = −5. Therefore, the y-intercept of the graph of f(n) is −5, and the slope-intercept equation for f(n) is f(n) = 3n − 5.
Choices A, B, and D are incorrect because each equation has the incorrect slope of the line (the y-intercept in each equation is also incorrect).
Choices A, B, and D are incorrect because each equation has the incorrect slope of the line (the y-intercept in each equation is also incorrect).
Most Upvoted Answer
The table above shows some values of the linear function f. Which of t...
Choice C is correct. The graph of y = f(n) in the coordinate plane is a line that passes through each of the points given in the table. From the table, one can see that an increase of 1 unit in n results in an increase of 3 units in f(n); for example, f(2) − f(1) = 1 − (−2) = 3. Therefore, the graph of y = f(n) in the coordinate plane is a line with slope 3. Only choice C is a line with slope 3. The y-intercept of the line is the value of f(0). Since an increase of 1 unit in n results in an increase of 3 units in f(n), it follows that f(1) − f(0) = 3. Since f(1) = −2, it follows that f(0) = f(1) − 3 = −5. Therefore, the y-intercept of the graph of f(n) is −5, and the slope-intercept equation for f(n) is f(n) = 3n − 5.
Choices A, B, and D are incorrect because each equation has the incorrect slope of the line (the y-intercept in each equation is also incorrect).
Choices A, B, and D are incorrect because each equation has the incorrect slope of the line (the y-intercept in each equation is also incorrect).
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The table above shows some values of the linear function f. Which of the following defines f ?a)f(n) = n − 3b)f(n) = 2n − 4c)f(n) = 3n − 5d)f(n) = 4n − 6Correct answer is option 'C'. Can you explain this answer?
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The table above shows some values of the linear function f. Which of the following defines f ?a)f(n) = n − 3b)f(n) = 2n − 4c)f(n) = 3n − 5d)f(n) = 4n − 6Correct answer is option 'C'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about The table above shows some values of the linear function f. Which of the following defines f ?a)f(n) = n − 3b)f(n) = 2n − 4c)f(n) = 3n − 5d)f(n) = 4n − 6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The table above shows some values of the linear function f. Which of the following defines f ?a)f(n) = n − 3b)f(n) = 2n − 4c)f(n) = 3n − 5d)f(n) = 4n − 6Correct answer is option 'C'. Can you explain this answer?.
The table above shows some values of the linear function f. Which of the following defines f ?a)f(n) = n − 3b)f(n) = 2n − 4c)f(n) = 3n − 5d)f(n) = 4n − 6Correct answer is option 'C'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about The table above shows some values of the linear function f. Which of the following defines f ?a)f(n) = n − 3b)f(n) = 2n − 4c)f(n) = 3n − 5d)f(n) = 4n − 6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The table above shows some values of the linear function f. Which of the following defines f ?a)f(n) = n − 3b)f(n) = 2n − 4c)f(n) = 3n − 5d)f(n) = 4n − 6Correct answer is option 'C'. Can you explain this answer?.
Solutions for The table above shows some values of the linear function f. Which of the following defines f ?a)f(n) = n − 3b)f(n) = 2n − 4c)f(n) = 3n − 5d)f(n) = 4n − 6Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SAT.
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The table above shows some values of the linear function f. Which of the following defines f ?a)f(n) = n − 3b)f(n) = 2n − 4c)f(n) = 3n − 5d)f(n) = 4n − 6Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The table above shows some values of the linear function f. Which of the following defines f ?a)f(n) = n − 3b)f(n) = 2n − 4c)f(n) = 3n − 5d)f(n) = 4n − 6Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The table above shows some values of the linear function f. Which of the following defines f ?a)f(n) = n − 3b)f(n) = 2n − 4c)f(n) = 3n − 5d)f(n) = 4n − 6Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The table above shows some values of the linear function f. Which of the following defines f ?a)f(n) = n − 3b)f(n) = 2n − 4c)f(n) = 3n − 5d)f(n) = 4n − 6Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice SAT tests.
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