Question

What is the range of ƒ(x) = |x|? (–∞, 0) (–∞, ∞) (0, ∞) [0, ∞)

Answer 1

The range of the function f(x) = |x| is [0,∞)

How to determine the range?

The function is given as:

f(x) = |x|

The above is the parent equation of an absolute value function.

The above function cannot output any negative value.

This means that:

ƒ(x) >= 0

As an interval notation, we have:

[0,∞)

Hence, the range of the function f(x) = |x| is [0,∞)

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