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Select the correct answer.

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

Select the correct answer. What is the range of the function f(x) = 4x + 9, given-example-1
User TOPKAT
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1 Answer

11 votes

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.

User TareK Khoury
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