BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter T, Problem 9DDT
To determine

To sketch: The graph of the function y=1+sin2x without using a calculator.

Expert Solution

Explanation of Solution

Compute a table for various values of x and then use the value of the function to sketch a smooth curve of y=sin2x.

x π2 π4 0 π4 π2
y 0 1 0 1 0

The graph for the given function y=sin2x is shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter T, Problem 9DDT , additional homework tip  1

According to the transaltion and reflection of the function the graph of the function y=1+sin2x is obtained if the graph of y=sin2x is translated upward by 1 units.

The graph for the given function y=1+sin2x is shown below in Figure 2.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter T, Problem 9DDT , additional homework tip  2

From Figure 2 , it is observed that the graph of the function y=1+sin2x is obtained if the graph of the function y=sin2x is translated right by 1 units and upward by 1 units.

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