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 - Page 450: 118

Answer

The domain is $(0, \infty)$ The range is $(-\infty,0]$ The x-intercept is (1,0). There are no y-intercepts.

Work Step by Step

The domain is a horizontal span from the function's smallest value of x to the function's largest value of x. If there is a discontinuity, the domain must show where the discontinuity happens. The range is a vertical span from the function's smallest value of f(x) to the function's largest value of f(x). If there is a discontinuity, the range must show where the discontinuity happens. The x-intercepts are all points of a graph when f(x)=0 while the y-intercepts are all points of a graph when x=0. In this case, there is only the x-intercept: $0=-ln(x)$ $0=ln(x)$ $e^0=x$ $x=1$
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