University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.1 - Functions and Their Graphs - Exercises - Page 11: 8


(a) The graph in Figure 1 is not a function of x (b) The graph in Figure 2 is not a function of x

Work Step by Step

(a) A function can only have one value f(x) for each x in it's domain. From this graph we can see that if we were to draw vertical lines, some vertical lines would intersect the graph twice at certain x values. Hence this is not a function. (b) Same reasoning as part a, a vertical line drawn in this graph has more than one intersection, this means that not every x value has a single y value output.
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