Question

the graph of a function f is given. use the graph to find each of the following.
a. the numbers, if any, at which f has a relative maximum. what are these relative maxima?
b. the numbers, if any, at which f has a relative minimum. what are these relative minima?
a. find the numbers, if any, at which f has a relative maximum, and find the relative maxima(maximum). select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
a. the function f has (a) relative maxima(maximum) at and the relative maxima(maximum) are(is) (use a comma to separate answers as needed.)
b. the function f has no relative maxima.

Explanation:

Step1: Recall the definition of relative maximum

A relative maximum of a function occurs at a point where the function changes from increasing to decreasing. Visually, it is a "peak" on the graph.

Step2: Examine the graph

Look for the peaks on the given graph of the function \(f\). Identify the \(x -\)values at which these peaks occur and the corresponding \(y -\)values.

Answer:

(Without the actual graph, we can't give specific values. But the general process is as above. If we assume we have the graph and find that the function \(f\) has relative maxima at \(x = a,x = b\) with \(y - \)values \(y = c,y = d\) respectively)
A. The function \(f\) has (a) relative maxima(maximum) at \(a,b\) and the relative maxima(maximum) are(is) \(c,d\)