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 1.8, Problem 122E

  (a)

To determine

To graph: The figure provided below such that it is symmetric with respect to x -axis.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 122E , additional homework tip  1

Expert Solution

Explanation of Solution

Given information:

The unsymmetrical graph is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 122E , additional homework tip  2

Graph:

Reflect the provided graph about the x -axis such that the x -coordinate of each point remains the same and y -coordinate becomes negative.

The complete graph such that it is symmetric with respect to x -axis is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 122E , additional homework tip  3

Interpretation:

Graph of the equation is symmetric with respect to x -axis means that graph is not changed when reflected about the x- axis.

The graph of an equation is symmetric about the x -axis, when y is replaced by y , the graph of the equation remains unchanged.

  (b)

To determine

To graph: The figure provided below such that it is symmetric with respect to y -axis.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 122E , additional homework tip  4

Expert Solution

Explanation of Solution

Given information:

The unsymmetrical graph is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 122E , additional homework tip  5

Graph:

Reflect the provided graph about the y -axis such that the x -coordinate of each point becomes negative and y -coordinate remains the same.

The complete graph such that it is symmetric with respect to y -axis is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 122E , additional homework tip  6

Interpretation:

Graph of the equation is symmetric with respect to y -axis means that graph is not changed when reflected about the y- axis.

The graph of an equation is symmetric about the y -axis, when x is replaced by x , the graph of the equation remains unchanged.

  (c)

To determine

To graph: The figure provided below such that it is symmetric with respect to origin.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 122E , additional homework tip  7

Expert Solution

Explanation of Solution

Given information:

The unsymmetrical graph is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 122E , additional homework tip  8

Graph:

Reflect the provided graph about the origin such that the x -coordinate of each point becomes negative and y -coordinate also becomes negative.

The complete graph such that it is symmetric with respect to origin is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 122E , additional homework tip  9

Interpretation:

Graph of the equation is symmetric with respect to origin means that graph is not changed when rotated 180° about the origin.

The equation is symmetric with respect to origin, when y is replaced by y and x is replaced by x , the equation remains unchanged.

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