Math Problem Statement

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? -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 x y

A coordinate system has a horizontal x-axis labeled from negative 6 to 6 in increments of 1 and a vertical y-axis labeled from negative 6 to 6 in increments of 1. From left to right, a curve falls at a decreasing rate and comes to a minimum at (2, negative 1). The curve then rises, first at an increasing rate, and then at a decreasing rate until it reaches a maximum at (3, 3). The curve then falls, first at an increasing rate, and then at a decreasing rate until it reaches a minimum at (4, negative 1). The curve then rises at an increasing rate for the rest of the graph. Question content area bottom Part 1 ​(a) Find the​ numbers, if​ any, at which f has a relative maximum. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The ​number(s) at which f has a relative maximum​ is/are enter your response here. ​(Type an integer or a decimal. Use a comma to separate answers as​ needed.) B. There is no number at which f has a relative maximum.

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Calculus
Functions
Relative Extrema

Formulas

-

Theorems

First Derivative Test

Suitable Grade Level

Grades 11-12