College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.4 - Logarithmic Functions - 6.4 Assess Your Understanding: 8

Answer

true

Work Step by Step

RECALL: The graph of the logarithmic function, $f(x) = \log_a{x}, a \gt 0, a\ne1$, is a curve that is asymptotic to (approaches but does not touch) the y-axis and has its x-intercept at $(1, 0)$. Thus, the graph of $f(x) = \log_a{x}$ has an x-intercept of $1$ but has no y-intercept since the graph does not touch the y-axis. Therefore, the given statement is true.
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