Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Review - Exercises - Page 389: 13

Answer

Domain: (0, ∞) Range: (-∞, ∞) Asymptote: x = 0 See graph below.

Work Step by Step

This problem just asks for the graph of the function, domain, range, and asymptote. Given $f(x) = -\log_{2} (x) + 2 $ The graph in black represents $\log_{2} (x) $ The function (in red) is a reflection about the x-axis, then a shift up 2 units Domain: (0, ∞) Range: (-∞, ∞) Asymptote: x = 0
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