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
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Math Problem Analysis
Mathematical Concepts
Calculus
Functions
Relative Extrema
Formulas
-
Theorems
First Derivative Test
Suitable Grade Level
Grades 11-12