Question

question the given function f(x) is defined on the interval (-9, 9) and represented by the graph below. find the x-value(s) of all relative maxima. answer attempt 2 out of 2 + add value - no values -2 submit answer

Explanation:

Step1: Recall relative maxima definition

A relative maximum is a point where the function changes from increasing to decreasing, and the function value at that point is greater than its neighboring points.

Step2: Analyze the graph

• Look at the graph's behavior:
• For \( x = -2 \): The graph reaches a peak here (changes from increasing to decreasing around \( x = -2 \)), and the \( y \)-value here is higher than adjacent points.
• Other points: The point at \( x = -5 \) is a minimum (changes from decreasing to increasing), the point at \( x = 3 \) is a minimum (since the graph comes from above and goes to a lower point then increases), and the right - hand part is increasing. So the only relative maximum occurs at \( x=-2 \).

Answer:

\(-2\)