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: 8

Answer

(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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.