Question

find the absolute maximum and minimum for the given graph. absolute maximum: enter your answer absolute minimum: enter your answer

Explanation:

Step1: Understand the concept of absolute maximum and minimum

The absolute maximum of a function on a graph is the highest \( y - \) value of the function within the given domain. The absolute minimum is the lowest \( y - \) value of the function within the given domain.

Step2: Identify the highest and lowest \( y - \) values from the graph

Looking at the graph, the highest \( y - \) value (the peak of the curve) is \( y = 4 \). The lowest \( y - \) value (the lowest point among the endpoints and critical points) is \( y=-5 \).

Answer:

Absolute maximum: \( 4 \)
Absolute minimum: \( -5 \)