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 2, Problem 55RE
To determine

Find the interval of increasing and decreasing of the given function f(x)=|x416| by using T1-83 calculator.

Expert Solution

Answer to Problem 55RE

The graph is increasing on [2,0],[2,) and decreasing on (,2],[0,2]

Explanation of Solution

Given information: consider the function f(x)=|x416|

Calculation:

Press the Y= button and enter the function ((X^4)-16).

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2, Problem 55RE , additional homework tip  1

Once this is done on the Window screen

X min =5

X max= 5

Y min = -5

Y max= 20

Adjust Xscl =1

This gives a rang that is good for many

Varied graph types

Set the window

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2, Problem 55RE , additional homework tip  2

Then click the GRAPH button.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2, Problem 55RE , additional homework tip  3

For finding increase and decrease intervals, click the TRACE button and use the left and right buttons to find values.

So the graph is increase on 2 to 0 ,  2 to  and decrease on  to 2 , 0 to 2 .

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2, Problem 55RE , additional homework tip  4

Thus, the graph is increasing on [2,0],[2,) and decreasing on (,2],[0,2]

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