Question

If y = 3x – 4 and the domain is { -3, -1, 4}, find the range. When the domain is -3, the range is ______. Show your work to find the range.

Answer 1

Hello!

The answer is:

When the domain is -3, the range is -13.

Why?

To solve the problem, we need to remember that the domain is also known as the input of the function, and the range of the function is also known as the output of the function.

We are given the inputs and we are asked to calculate the output of the function at -3, so, evaluating -3 into the function, we have:

$y=3x-4\\f(x)=3x-4\\f(-3)=3*(-3)-4=-9-4=-13$

Hence, we have that when the domain is -3, the range is -13.

Have a nice day!