Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Section 4.1 - Exponential Functions - 4.1 Exercises - Page 337: 34

Answer

The Domain is (-∞, ∞) The Range is (-∞, 6) The horizontal asymptote is at y = 6 See graph below.

Work Step by Step

Given $f(x) = 6 - 3^x$ The transformations are as follows The red graph represents the graph of $3^x$ The blue graph represents the graph of $(-3)^x$, which is a reflection about the x-axis of the red graph The green graph represents the graph of $f(x)$, which is a translation of 6 units up from the blue graph The Domain is (-∞, ∞) The Range is (-∞, 6) The horizontal asymptote is at y = 6
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.