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 2.2, Problem 13E
To determine

To sketch: The graph of f(x) which satisfies the conditions, limx0f(x)=1,limx0+f(x)=2 and f(0)=1.

Expert Solution

Explanation of Solution

Graph:

Given that, limx0f(x)=1,limx0+f(x)=2 and f(0)=1.

Here, the left hand limit and the right hand limit of limx0f(x) are not the same. So, plot the open dot on (0, 2) and (0, −1).

Moreover, the graph must contain a point (0, 1) as f(0)=1. So, mark the point (0, 1) as a filled dot.

Thus, the possible graph of f(x) is shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 13E

In Figure 1, open dots indicate that the points are excluded.

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