Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 7 Exponential and Logarithmic Functions - 7.2 Graph Exponential Decay Functions - Guided Practice for Examples 3 and 4 - Page 488: 6

Answer

The domain is all real numbers and the range is all numbers less than 4.

Work Step by Step

We first note the shape of the graph of $b^x$ (where b is a fraction), which is on page 486. Thus, we start with this shape for our graph. If the function is in the form $b^x$, we are done. However, if it is in the form $ab^{x-h}+k,$ we shift the graph h units right and k units up. (Note, $a$ changes the steepness of the graph.)
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