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 1.3, Problem 10E
To determine

To sketch: The function y=(x3)2 by hand without plotting any points.

Expert Solution

Explanation of Solution

The standard graph of the function y=x2 is roughly drawn as shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.3, Problem 10E , additional homework tip  1

From Figure 1, it is observed that the curve y=x2 intersects the x-axis at the point (0,0).

Since the number 3 is subtracted from x in y=(x3)2, shift the graph y=x2 by 3 units to the right.

Thus, the graph of y=(x3)2 is shown below in Figure 2.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.3, Problem 10E , additional homework tip  2

From Figure 2, it is observed that the curve y=(x3)2 intersects the x-axis at the point (3,0).

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