Calculus 10th Edition

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

Chapter P - P.1 - Graphs and Models - Exercises: 43

Answer

No, this function does not pass the vertical line test and therefore y is not a function of x.
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Work Step by Step

To determine if y is a function of x, we can check this by doing the vertical line test. For the vertical line test, a vertical line can intersect the graph of the function only once. Therefore, x-y^{2}=0 is not a function of x, as it does not pass the vertical line test.
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