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 2.5, Problem 62E

a.

To determine

To match the equation of the function with its graph by obtaining the graph.

Expert Solution

Answer to Problem 62E

The equation y=13f(x) matches with the graph number 2 .

Explanation of Solution

Given information:

The function is y=f(x)

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 62E , additional homework tip  1

Use definition ofvertically shrinking of the graph,

The graph of y=13f(x) is obtained by the graph of y=f(x) shrink the graph vertically by a factor of 13 , so from the above graph it is observed that graph number 2 matches with graph of equation y=13f(x) .

b.

To determine

To match the equation of the function with its graph by obtaining the graph.

Expert Solution

Answer to Problem 62E

The equation y=f(x+4) matches with the graph number 3 .

Explanation of Solution

Given information:

The function is y=f(x)

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 62E , additional homework tip  2

Use definition ofhorizontally shifting and reflecting of the graph,

The graph of y=f(x+4) is obtained by the graph of y=f(x) shifted 4 unit left then reflect in the x -axis, so from the above graph it is observed that graph number 3 matches with graph of equation y=f(x+4) .

c.

To determine

To match the equation of the function with its graph by obtaining the graph.

Expert Solution

Answer to Problem 62E

The equation y=f(x4)+3 matches with the graph number 2 .

Explanation of Solution

Given information:

The function is y=f(x)

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 62E , additional homework tip  3

Use definition of horizontal shifting and vertically shiftingof the graph,

The graph of y=f(x4)+3 is obtained by the graph of y=f(x) shifted 4 unit right then shift the graph 3 unit upward, so from the above graph it is observed that graph number 1 matches with graph of equation y=f(x4)+3 .

d.

To determine

To match the equation of the function with its graph by obtaining the graph.

Expert Solution

Answer to Problem 62E

The equation y=f(x) matches with the graph number 4 .

Explanation of Solution

Given information:

The function is y=f(x)

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 62E , additional homework tip  4

Use definition of reflecting of the graph,

The graph of y=f(x) is obtained by the graph of y=f(x) reflected in the y- axis, so from the above graph it is observed that graph number 4 matches with graph of this equation y=f(x) .

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