Precalculus (6th Edition) Blitzer

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

Chapter 3 - Section 3.1 - Exponential Functions - Exercise Set - Page 449: 39


domain: $(-\infty,\infty)$ range: $(2,\infty)$ asymptote: $ y=2$

Work Step by Step

$ h(x)=e^{x-1}+2=f(x-1)+2$, so its graph is obtained by shifting the graph of $ f(x)$ rightward by 1 unit, and then up by 2 units (the asymptote moves to $ y=2$ ) Perform the transformation on the points given on the graph of f, and join the new points with a smooth curve (red, solid line). domain: $(-\infty,\infty)$ range: $(2,\infty)$ asymptote: $ y=2$
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