Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - Review Exercises - Page 38: 43

Answer

No, this graph does not pass the vertical Line Test, as it hits the same x value twice.

Work Step by Step

We can switch the original equation into slope intercept form, which can be seen in the image provided. We then can plot points by plugging in numbers. Once we have the graph, we must test it by putting a vertical line on the graph. The Vertical Line test is used to determine if a graph is a function. If a vertical line intersects a graph more than once, then it is NOT a function. The graph in this problem does not pass the vertical line test as it hits the same x value twice.
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