Select the correct answer. What is the range of the function f(x) = 4x + 9, given the domain D={-4,-2,0, 2}?

Given:

The function is

Domain = {-4, -2, 0, 2}

To find:

The range of the given function for the given domain.

Solution:

We know that domain is the set of input values and range is the set  of output values.

We have, and domain = {-4, -2, 0, 2}.

Putting x=-4 in the given function, we get

Putting x=-2 in the given function, we get

Putting x=0 in the given function, we get

Putting x=2 in the given function, we get

The output values are -7, 1, 9, 17. So, the range of the function f(x) for the given domain is {-7, 1, 9, 17}.

Therefore, the correct option is D.

step-by-step explanation: