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: 10

Answer

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 $y=-x+2$, which is a line with a slope of -1 that crosses the y-axis at $x=2$. This function is one-to-one, because each x-value of the function corresponds to only one y-value, and vice versa. In general, all lines besides horizontal and vertical lines will be one-to-one functions.
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