Question

use the graph of ( y = f(x) ) to answer the questions. complete parts a through j
relative maxima? select the correct choice below
the answer boxes to complete your choice
a. there is only one relative maxima. the max
and it occurs at ( x=) (type integers or fractions)
b. there are two relative maxima. the leftmost
4, and it occurs at ( x=-2 ). the rightmost
4, and it occurs at ( x = 2 )
(type integers or fractions)
c. there are three relative maxima. the leftmost
, and it occurs at ( x=) the central max
, and it occurs at ( x=) the rightmost ma
, and it occurs at ( x=)
(type integers or fractions)
d. there are no relative maxima
f. what is/are the ( x )-intercept(s) of ( f )?
the ( x )-intercept(s) is/are ( x=) (use a comma to separate answers as needed)

Explanation:

Step1: Recall the definition of x - intercept

The x - intercepts of a function \(y = f(x)\) are the values of \(x\) for which \(y=f(x)=0\).

Step2: Analyze the graph

Looking at the graph of \(y = f(x)\), we can see that the graph crosses the \(x\) - axis at \(x=-3\) and \(x = 3\) (since at these points \(y = f(x)=3\) is incorrect, wait, no. Wait, the x - intercept is where \(y = 0\). Wait, no, looking at the graph, the function \(y=f(x)\) crosses the \(x\) - axis at \(x=-3\) and \(x = 3\) (the points \((-3,0)\) and \((3,0)\) are not in the given labeled points. Wait, no, wait the x - intercept is the value of \(x\) when \(y = 0\). From the graph, we observe that the function \(y = f(x)\) crosses the \(x\) - axis at \(x=-3\) and \(x = 3\).

Answer:

\(-3,3\)