Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Sections 9.1-9.6 - Integrated Review - Functions and Properties of Logarithms: 11

Answer

Not one-to-one

Work Step by Step

We know that a function is one-to-one if each x-value of the function corresponds to only one y-value and each y-value corresponds to only one x-value. The given function is a parabola. We can use the horizontal line test to determine if the function is one-to-one. If we insert a horizontal line at $y=0$, we will intersect the function more than once (at $x=0$ and $x=5$). Therefore, this function is not one-to-one.
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