Intermediate Algebra for College Students (7th Edition)

Published by Pearson

Chapter 2 - Section 2.2 - Graphs of Functions - Exercise Set - Page 122: 31

Answer

Domain: $[0, 5)$ Range: $[-1, 5)$

Work Step by Step

Some important observations about the graph: (i) The lowest point is at $(0, -1)$. (ii) The highest point, though it is not really part of the graph since a hole (hollow dot) was used, is at $(5, 5)$. (iii) The graph is increasing from left to right. The domain is the set that contains all the x-values of a function. The x-value of the given function varies from $x=0$ to any number less than $5$ (5 is not included because a hollow dot was used to plot the point (5, 5)). Thus, the domain of the given function is $[0, 5)$. The range of a function is the set of y-values. Notice that the y-values covered by the graph vary from $y=-1$ up to any number less than 5 (5 is not included because a hollow dot was used to plot the point (5, 5)). Thus, the range of the function is $[-1, 5)$.

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