Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.1 - Functions and Their Graphs - Exercises 1.1: 7

Answer

(a) Is not (b) Is

Work Step by Step

(a) Is not a graph of a function of x. It fails the vertical line test, for some values of x on the graph have multiple corresponding values of y, which means this can't be a function of x. (b) Is a graph of x. Unlike (a), there's no place to draw a vertical line such that it intersects the graph more than once.
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