College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.3 - Getting Information from the Graph of a Function - 2.3 Exercises - Page 215: 15

Answer

(a) Refer to the image below for the graph. (b) Domain: $[-3, 3]$ Range: $[-1, 8]$
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Work Step by Step

(a) Sketch the graph of the function by creating a table of values. Plot each point of the table of values then connect them using a smooth curve to complete the graph. Note that the domain is restricted to $-3 \le x \le 3$. (refer to the attached image in the answer part above) (b) Use the graph to find the domain and range. The domain is the set that contains all the x-values covered by the graph/function. The range is the set that contains all the y-values covered by the graph/function. Note that: The domain is restricted to $-3 \le x \le 3$ Thus, the domain is $[-3, 3]$. The graph covers the y-values from $-1$ to $8$. Thus, the range is $[-1, 8]$.
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