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 2.3, Problem 12E

a.

To determine

To draw: a graph by using a graphing calculator.

Expert Solution

Explanation of Solution

Given information: consider the provided function,

  f(x)=x2,2x5

Graph:

Step 1: Open Graphing Calculator from the start menu.

Step 2: Click on the input box and enter the function provided f(x)=x2

Step 3: Press Enter.

Step 4: enter 2x5 .

Step 5: press enter.

Hence, the graph so obtained is,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 12E , additional homework tip  1

b.

To determine

To calculate: the domain and the range from the graph

Expert Solution

Answer to Problem 12E

the domain from the graph is [1,3] and the range from the graph is [,] .

Explanation of Solution

Given information: consider the graph obtained in part a.,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 12E , additional homework tip  2

Calculation:

The domain of the function f is all the x-values of the points on the graph, and the range is all the corresponding y -values.

The x -values have been restricted between 2x5 , therefore, the domain of the graph is [-2,5]

From the graph, the function cuts the y -axis at y = 0 and at y = 25, the function cuts the extend of the domain, therefore, the range is [0,25]

Hence, the domain from the graph is [2,5] and the range from the graph is [0,25] .

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