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 7E

a.

To determine

To calculate: the values of g(4),g(2),g(0),g(2) and g(4)

Expert Solution

Answer to Problem 7E

  g(2)=2g(0)=2g(2)=1g(4)=0

Explanation of Solution

Given information: the graph of function g is provided,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 7E , additional homework tip  1

Graph:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 7E , additional homework tip  2

Interpretation:

In the graph, the value of g(4) is the corresponding y- value at x = 4 , that is,

  g(4)=3

Similarly, the corresponding y -values for,

  g(2)=2g(0)=2g(2)=1g(4)=0

Hence,

  g(2)=2g(0)=2g(2)=1g(4)=0

b.

To determine

the domain and the range of the provided graph

Expert Solution

Answer to Problem 7E

The domain and range of g is [-4,4] and [-2,3], respectively.

Explanation of Solution

Given information: the graph of function g is provided,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 7E , additional homework tip  3

Graph:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 7E , additional homework tip  4

Interpretation:

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

From the graph of g , we see that the domain of g is the interval [-4, 4] and the range of g is the interval [-2, 3].

Hence, the domain and range of g is [-4,4] and [-2,3], respectively.

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