Concept explainers
Use the given graphs of f and g to estimate the value of f(g(x)) for x = − 5, − 4, − 3,. . . , 5. Use these estimates to sketch a rough graph of f ◦ g.
To estimate: The value of
Explanation of Solution
First find the value of
Note that at
Similarly, from the graph g, the values of
x | |
−5 | −0.2 |
−4 | 1.2 |
−3 | 2.2 |
−2 | 2.8 |
−1 | 3 |
0 | 2.8 |
1 | 2.2 |
2 | 1.2 |
3 | −0.2 |
4 | −1.9 |
5 | −4.1 |
Table 1
Note that at
Similarly, from the graph f, the values of
x | ||
−5 | −0.2 | −4 |
−4 | 1.2 | −3.3 |
−3 | 2.2 | −1.7 |
−2 | 2.8 | −0.5 |
−1 | 3 | −0.2 |
0 | 2.8 | −0.5 |
1 | 2.2 | −1.7 |
2 | 1.2 | −3.3 |
3 | −0.2 | −4 |
4 | −1.9 | −2.2 |
5 | −4.1 | 1.9 |
Table 2
Use Table 2 to sketch the graph of
Let
From Figure1, it is observed that the graph of
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
Additional Math Textbook Solutions
Precalculus
Precalculus (6th Edition)
University Calculus
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