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 61E

a.

To determine

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

Expert Solution

Answer to Problem 61E

The equation y=f(x4) 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 61E , additional homework tip  1

Use definition of horizontal shifting of the graph,

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

b.

To determine

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

Expert Solution

Answer to Problem 61E

The equation y=f(x)+3 matches with the graph number 1 .

Explanation of Solution

Given information:

The function is y=f(x)

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 61E , additional homework tip  2

Use definition ofvertical shifting of the graph,

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

c.

To determine

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

Expert Solution

Answer to Problem 61E

The equation y=2f(x+6) 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 61E , additional homework tip  3

Use definition of horizontal shifting and vertically stretching of the graph,

The graph of y=2f(x+6) is obtained by the graph of y=f(x) shifted 6 unit left then stretch the graph vertically by a factor of 2 , so from the above graph it is observed that graph number 2 matches with graph of equation y=2f(x+6) .

d.

To determine

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

Expert Solution

Answer to Problem 61E

The equation y=f(2x) 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 61E , additional homework tip  4

Use definition of horizontal shrinking and reflecting of the graph,

The graph of y=f(2x) is obtained by the graph of y=f(x) shrink horizontally by a factor of 12 and then reflected in the x- axis, so from the above graph it is observed that graph number 4 matches with graph of this equation.

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