What is the range of the function f(x) = 3/4|x| – 3?

Question

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Answer 1

The parent function is y=|x|, which has a range of [0,∞)

The -3 is a vertical shift down by 3 units, which means the range changes to [-3,∞)

The 3/4 is a vertical shrink, which doesn't impact the range at all.

Answer 2

Domain is all the possible values of x that will work in the function. Range is all the possible values for y, or all the possible answers. For |x| the range is 0 and all positive numbers (can't get a negative result), or y >= 0. From there you can figure out the solution and chart a graph.