Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.2 - Graphs of Functions - Exercise Set - Page 122: 34


Domain: $[-1, +\infty)$. Range: $[0, +\infty)$

Work Step by Step

Some important observations about the graph: (i) The lowest point is at $(-1, 0)$. (ii) The graph is increasing from left to right (without a bound on the right). The domain is the set that contains all the x-values of a function. The x-values included in the given function are all the real numbers greater than or equal to $-1$. Thus, the domain of the given function is $[-1, +\infty)$. The range of a function is the set of y-values. Notice that the y-values included in the graph of the function are all real numbers greater than or equal to $0$. Thus, the range of the function is $[0, +\infty)$.
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