College Algebra (6th Edition)

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

Chapter 2 - Functions and Graphs - Exercise Set 2.7 - Page 311: 73


If we are given the graph of a one-to-one function, we can draw the graph of the inverse function $f^{-1}$ as well. Since inverse functions have ordered pairs with interchanged coordinates, the point $(x,y)$ on the graph of $f$ would be $(y,x)$ on the graph of $f^{-1}$. They are symmetric with respect to the line $y=x$, making $f^{-1}$ a reflection of the graph of $f$ about the line $y=x$. To draw the graph of the inverse function, we choose relevant points on the function's graph and draw the symmetric points about the line $y=x$.

Work Step by Step

Keep in mind that the inverse function has interchanged coordinates, so $(x,y)$ would change to $(y,x)$.
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