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 13E

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)=4x2

Graph:

Step 1: Open Graphing Calculator from the start menu.

Step 2: Click on the input box and enter the function provided f(x)=4x2

Step 3: Press Enter.

Hence, the graph so obtained is,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 13E , additional homework tip  1

b.

To determine

the domain and the range from the graph

Expert Solution

Answer to Problem 13E

the domain from the graph is [2,2] and the range from the graph is [,4] .

Explanation of Solution

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

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 13E , 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.

From the graph, the function cuts the y -axis at y = 4 and covers the graph till , therefore, the range is [,4] . The function cuts the x -axis from x=2 to x=2 , therefore, the domain is [2,2]

Hence, the domain from the graph is [2,2] and the range from the graph is [,4] .

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