Question

first up, lets review the assignments learning objectives
get familiar with this topic by reviewing instruction and answering a couple of questions.
question
what is the y - value of the absolute maximum of the function in the graph shown below?
provide your answer below:

Explanation:

Step1: Understand the concept of absolute maximum

The absolute maximum of a function on its domain is the largest \(y\)-value that the function attains.

Step2: Analyze the graph

Looking at the graph, we check the \(y\)-coordinates of all the critical points (local maxima) and the endpoints. The left - hand endpoint (at \(x=-3\)) has a \(y\)-value of \(9\), and the local maximum in the middle (around \(x = 5\)) has a \(y\)-value of \(8\).

Answer:

\(9\)