Answer
Not one-to-one.
Work Step by Step
Since $f(x)=3$ for $x\geq 0$ is a straight line and there exists a horizontal line that intersects the graph of $f(x)$ at more than point, then the function is not one-to-one.
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 7: Transcendental Functions - Section 7.1 - Inverse Functions and Their Derivatives - Exercises 7.1 - Page 372: 7
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