Question

PLEASE HELP.

The graph of an absolute value function has a domain of (-∞, ∞) and range of (-∞, 0]. In two or more complete sentences, explain how the given range of the function can help you to determine the maximum or minimum y-value of the function.

Answer 1

The maximum y-value is 0.

Step-by-step explanation

The domain of the given absolute value function is (-∞, ∞) .

This means the function is defined for all real values of x.

The range of the function is (-∞, 0].

This can be rewritten as

`y \leqslant 0`

This means that, the highest y-value on the gray of this absolute value function is 0.

Hence the maximum y-value of the function is 0.