Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.5 - Logarithmic Functions - Vocabulary, Readiness & Video Check - Page 571: 5


The function has NO y-intercept.

Work Step by Step

RECALL: (i) In $y=\log_b{x}$, $b\gt 0$. (ii) The logarithmic functions are asymptotic (does not touch) to the y-axis. (iii) The y-intercept is the point where the graph of a function touches the y-axis. The given function is logarithmic therefore its graph is asymptotic to the y-axis. Since the function's graph does not touch the y-axis, then the function has NO y-intercept.
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