Question

PLEASE HELP!

answer correctly!!

what is the range of the function f(x) = 3/4 |x| - 3

Answer 1

all real numbers greater than or equal to -3

Explanation:

Range: output values of a function (y-values)

Given function:

`f(x)=(3)/(4)|x|-3`

This is an absolute value function so |x| ≥ 0

Therefore, as |x| ≥ 0:

`\implies (3)/(4)|x|\geq 0`

`\implies (3)/(4)|x|-3\geq -3`

So the range of the given function is [-3, ∞):

all real numbers greater than or equal to -3