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The range of the function f(x) = 3x – 2‚ is:
- a)(- ∞, ∞)
- b)R – {3}
- c)(- ∞, 0)
- d)(0, – ∞)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The range of the function f(x) = 3x – 2‚ is:a)(- ∞, ...
Let the given function be
y = 3x – 2
⇒ y + 2 = 3x
⇒ x = (y + 2)/3
Since, for all values of y, x has different values. Thus, values of x and y can range from -∞ to ∞.
So, Range{f(x)} = R = (-∞, ∞).
y = 3x – 2
⇒ y + 2 = 3x
⇒ x = (y + 2)/3
Since, for all values of y, x has different values. Thus, values of x and y can range from -∞ to ∞.
So, Range{f(x)} = R = (-∞, ∞).
Most Upvoted Answer
The range of the function f(x) = 3x – 2‚ is:a)(- ∞, ...
Range of the Function f(x) = 3x - 2
Definition of Range:
The range of a function is the set of all possible values that the function can output.
Given Function:
f(x) = 3x - 2
Finding the Range:
To find the range of the function, we need to determine all possible values that f(x) can take.
Approach:
- Since the function f(x) = 3x - 2 is a linear function, it will continue indefinitely in both directions.
- As there are no restrictions or limitations on the input x, the output values of the function f(x) will span all real numbers.
Conclusion:
Therefore, the range of the function f(x) = 3x - 2 is the set of all real numbers, which can be represented as (-∞, ∞). This indicates that the function can output any real number, making the correct answer option 'A' (-∞, ∞).
Definition of Range:
The range of a function is the set of all possible values that the function can output.
Given Function:
f(x) = 3x - 2
Finding the Range:
To find the range of the function, we need to determine all possible values that f(x) can take.
Approach:
- Since the function f(x) = 3x - 2 is a linear function, it will continue indefinitely in both directions.
- As there are no restrictions or limitations on the input x, the output values of the function f(x) will span all real numbers.
Conclusion:
Therefore, the range of the function f(x) = 3x - 2 is the set of all real numbers, which can be represented as (-∞, ∞). This indicates that the function can output any real number, making the correct answer option 'A' (-∞, ∞).
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The range of the function f(x) = 3x – 2‚ is:a)(- ∞, ∞)b)R – {3}c)(- ∞, 0)d)(0, – ∞)Correct answer is option 'A'. Can you explain this answer?
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