Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Cumulative Review Exercises - Page 1127: 1


The domain of $ y=f\left( x \right)$ is $[-4,1)$ and the range is $(-\infty,2]$.

Work Step by Step

The domain of any function is defined as the values it can take on the x-axis, whereas the range is the values it can take on the y-axis. Then, from the figure provided, it can be seen that the graph starts at $-4$ and ends at $1$ but does not touch $ x=1$. Therefore, the domain is $[-4,1)$. And for the range, we can see from the graph that y starts from $2$ and expands infinitely in the negative direction of the y-axis. So, the range is $(-\infty,2]$.
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