Question

functions graph question completed: 29 of 37 part 7 of 12 my score: 28.1/37 pts (75.95%) save use the graph of ( y = f(x) ) to answer the questions. complete parts a through j (type integers or fractions.) d. there are no relative minima e. for what value(s) of ( x ) does ( f ) obtain a relative maximum? what are relative maxima? select the correct choice below and, if necessary, fill the answer boxes to complete your choice a. there is only one relative maxima. the maximum value is and it occurs at ( x = ) (type integers or fractions.) b. there are two relative maxima. the leftmost maximum value is 4.5, and it occurs at ( x = -4 ) the rightmost maximum value is 4.5, and it occurs at ( x = 4 ) (type integers or fractions.) c. there are three relative maxima. the leftmost maximum value is , and it occurs at ( x = ) the central maximum value is , and it occurs at ( x = ) the rightmost maximum value is , and it occurs at ( x = ) (type integers or fractions.) d. there are no relative maxima et more help - clear all check answer

Explanation:

Step1: Analyze the graph for relative maxima

A relative maximum of a function \(y = f(x)\) is a point where the function changes from increasing to decreasing. Looking at the graph \(y = f(x)\), we observe two such points.

Step2: Identify the coordinates of the relative maxima

The left - most relative maximum has a \(y\) - value (the maximum value) of \(4.5\) and occurs at \(x=-4\). The right - most relative maximum has a \(y\) - value of \(4.5\) and occurs at \(x = 4\).

Answer:

B. There are two relative maxima. The leftmost maximum value is \(4.5\), and it occurs at \(x=-4\). The rightmost maximum value is \(4.5\), and it occurs at \(x = 4\)