a. Answer The absolute maximum is 3 at x = 3 and the absolute maximum is − 2 at x = 1 Explanation Calculation: From the Given graph, critical values are x = 0 and x = 3 , which are nay values of x that make f ′ ( x ) = 0 or undefined. From the table, f ′ ( 1 ) = 0 and f ′ ( 2 ) undefined. So critical values are x = 1 and x = 2 From the table, f ( 0 ) = 0 , f ( 1 ) = − 2 , f ( 2 ) = 0 , f ( 3 ) = 3 Thus the absolute maximum is 3 at x = 3 and the absolute maximum is − 2 at x = 1 b. To determine From the given table, find the inflection points. Answer From the table, there are no points of inflection because f is concave up f ′ ′ > 0 through out the interval. Explanation Calculation: From the table, there are no points of inflection because f is concave up f ′ ′ > 0 through out the interval. c. To determine Sketch the graph. Answer Explanation Calculation: Graph of the function as shown below:

Calculus: Graphical, Numerical, Algebraic

3rd Edition

ISBN: 9780133688399

Author: Finney, Ross L.

Publisher: Pearson/Prentice Hall

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 5, Problem 36RE

To determine

From the given table, find the absolute maximum.

Expert Solution

Answer to Problem 36RE

The absolute maximum is 3 at x=3 and the absolute maximum is −2 at x=1

Explanation of Solution

Calculation:

From the Given graph, critical values are x=0 and x=3, which are nay values of x that make f′(x)=0 or undefined.

From the table, f′(1)=0 and f′(2) undefined.

So critical values are x=1 and x=2

From the table, f(0)=0,f(1)=−2,f(2)=0,f(3)=3

Thus the absolute maximum is 3 at x=3 and the absolute maximum is −2 at x=1

To determine

From the given table, find the inflection points.

Expert Solution

Answer to Problem 36RE

From the table, there are no points of inflection because f is concave up f′′>0 through out the interval.

Explanation of Solution

Calculation:

From the table, there are no points of inflection because f is concave up f′′>0 through out the interval.

To determine

Sketch the graph.

Expert Solution

Answer to Problem 36RE

Calculus: Graphical, Numerical, Algebraic, Chapter 5, Problem 36RE , additional homework tip 1

Explanation of Solution

Calculation:

Graph of the function as shown below:

Calculus: Graphical, Numerical, Algebraic, Chapter 5, Problem 36RE , additional homework tip 2

Chapter 5, Problem 35RE

Chapter 5, Problem 37RE

Chapter 5 Solutions

Calculus: Graphical, Numerical, Algebraic

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