College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Summary, Review, and Test - Cumulative Review Exercises (Chapters 1-3) - Page 440: 1


Domain: {$x|x$}; in other words, all Real numbers. Range: {$y|y\geq 0$}; where $y$ belongs to the realm of Real numbers.

Work Step by Step

The domain of a function $f(x)$ refers to all the possible values of $x$ of the function. In this exercise, we observe that the graph of the function $y=f(x)$ is continuous from negative infinity to positive infinity. This means that the function encompasses all possible values of $x$. For the domain, however, we see that the graph of the function only travels from $y=0$ to positive infinity. Therefore, the range of the function, which refers to all the possible values of $y$, becomes $y\geq 0$.
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