BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 3.1, Problem 50E

a.

To determine

To graph the function using graphing device and find the maximum and minimum value of the function f.

Expert Solution

Explanation of Solution

Given information : Use graphing device to graph the function f(x)=1+x2x2 .

Graph : Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press Y= button.

Step 3: Enter the expression f(x)=1+x2x2 which is required to graph.

Step 4: Press GRAPH button to graph the function.

The graph is obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 3.1, Problem 50E

Interpretation :

From the above graph, it can be observed that the maximum value is at (1.18)

b.

To determine

To Find: The exact maximum or minimum value of the function f(x)=1+x2x2 and compare it with the above answer.

Expert Solution

Answer to Problem 50E

The value of maxima is f(122)=(1.18)

both answers up to two decimal places are similar.

Explanation of Solution

Given: The function is f(x)=1+x2x2

Calculation:

This is a quadratic function with a=2, and b=1 . Thus, the maximum or minimum value occurs at

  x=b2a=12(2)=122

Since, a<0 , the function has the maximum value

  f(122)=1+(122)2(122)2=1.18

Therefore, both answers up to two decimal places are similar.

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