Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set - Page 476: 113

Answer

See graph and explanations.
1582936043

Work Step by Step

a. Graph the function $y=log_3(x)$ as shown in the figure (red curve). b. (i) Graph the function $y=2+log_3(x)$ (blue curve), and it can be seen that it can also be obtained by shifting the original curve (red) up 2 units. (ii) Graph the function $y=log_3(x+2)$ (green curve), and it can be seen that it can also be obtained by shifting the original curve (red) units to the left. (iii) Graph the function $y=-log_3(x)$ (purple curve), and it can be seen that it can also be obtained by reflecting the original curve (red) with respect to the x-axis.
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