Question

Select the correct answer.

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

Answer 1

Given:

The function is

`f(x)=4x+9`

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,
`f(x)=4x+9` and domain = {-4, -2, 0, 2}.

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

`f(-4)=4(-4)+9`

`f(-4)=-16+9`

`f(-4)=-7`

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

`f(-2)=4(-2)+9`

`f(-2)=-8+9`

`f(-2)=1`

Putting x=0 in the given function, we get

`f(0)=4(0)+9`

`f(0)=0+9`

`f(0)=9`

Putting x=2 in the given function, we get

`f(2)=4(2)+9`

`f(2)=8+9`

`f(2)=17`

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.