Question

What is the range of the absolute value function below?

f(x) 2-4
f(x) 2-1
f(x) <1
f(x) 4

Answer 1

f(x) ≤1

Explanation:

The range involves the y-axis, whereas the domain involves the x-axis. The range is the area between the highest point and lowest point. So for this question, the highest point is 1 and there is no lowest point because the line doesn't end. If there's an open circle on the point the sign changes to <, but a closed circle is ≤. That's how we get f(x) ≤ 1.

I know it's confusing, but I hope this helped a little bit.

Answer 2

the answer is c f(x) < 1