Precalculus (6th Edition) Blitzer

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

Chapter 1 - Section 1.3 - More on Functions and Their Graphs - Exercise Set - Page 198: 67


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Work Step by Step

(b) Consider the given function: $f\left( x \right)=\left\{ \begin{align} & \frac{{{x}^{2}}}{2}\text{ if }x<1 \\ & 2x-1\text{ if }x\ge 1 \end{align} \right.$. This function consists of a parabola opening in the upwards direction and a straight line. As seen from the graph, the range of the function is $\left[ 0,\infty \right)$. Thus, the range of the function is $\left[ 0,\infty \right)$.
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