1) Evaluating a function a. Means finding the value of f(x) or y that corresponds to a given value b. Means finding the value of f(x) or x that corresponds to a given value c. Both a and b. d. None of the above. 2) How do you evaluate a function? a. To evaluate function is to change its variable with a given number or expression. b. To evaluate function is to replace its variable with a given number or expression. c. To evaluate function is to replace its variable with a given number or functions. d. Both b and c. 3) It is represented by x and the output by f(x). a. Input b. Output c. Variable d. Function 4) If f(x) = 9 - 6x, evaluate f(-1). a. 15 b. 16 c. 17 d. 18 5) Find g(2-x) if g(x) = x² - 4x a. x² - 5x + 4 b. x² - 3x - 4 c. x² + 5x - 4 d. x² + 3x + 4

Let's go through each of the questions step-by-step to understand them better.

Evaluating a function:


Option a : Means finding the value of f ( x ) or y that corresponds to a given value. This is correct because evaluating a function involves finding the output based on a given input.
Option b : Means finding the value of f ( x ) or x that corresponds to a given value. This option is slightly incorrectly phrased; typically, it's about finding f ( x ) for a given x .
Option c : Both a and b. This is incorrect as only option a is accurate.
Option d : None of the above. This is incorrect.

Chosen option for question 1: a

How do you evaluate a function?


Option a : To evaluate function is to change its variable with a given number or expression. This is unclear.
Option b : To evaluate a function is to replace its variable with a given number or expression. This is correct; you substitute the variable in the function with the given value.
Option c : To evaluate a function is to replace its variable with a given number or functions. This is slightly incorrect because you don't usually replace a variable with another function.
Option d : Both b and c. Since b alone is correct, this option is incorrect.

Chosen option for question 2: b

It is represented by x and the output by f ( x ) :


Option a : Input. This is correct because x is the input value used in the function.
Option b : Output. This would be represented by f ( x ) , not x .
Option c : Variable. While x is a variable, the phrasing here makes "Input" a more correct choice.
Option d : Function. This describes f , not x .

Chosen option for question 3: a

If f ( x ) = 9 − 6 x , evaluate f ( − 1 ) :


To evaluate f ( − 1 ) , substitute − 1 for x into the function: f ( − 1 ) = 9 − 6 ( − 1 ) = 9 + 6 = 15

Chosen option for question 4: a

Find g ( 2 − x ) if g ( x ) = x 2 − 4 x :


To find g ( 2 − x ) , substitute 2 − x into the function in place of x : g ( 2 − x ) = ( 2 − x ) 2 − 4 ( 2 − x ) Expand and simplify: = ( 4 − 4 x + x 2 ) − ( 8 − 4 x ) = 4 − 4 x + x 2 − 8 + 4 x = x 2 − 4

Chosen option for question 5: a

Answered by BenjaminOwenLewis | 2025-07-21