Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 4 - An Introduction to Functions - 4-4 Graphing a Function Rule - Practice and Problem-Solving Exercises - Page 257: 21

Answer

The graph of the function h=6-0.3j is a discrete graph because the graph has a domain of 0-20 ounces. The graph of the function is shown below.

Work Step by Step

The graph of the function h=6-0.3j is a discrete graph because the bottle has a maximum of 20 ounces and minimum of 0 ounces. The graph is discrete because after drinking 20 ounces, the height of juice is 0 inches and therefore the bottle cannot have negative height. Thus it is a discrete graph because the height changes after drinking specific ounces of juice. In addition, the domain is from 0 to 20 ounces because the bottle can have a max height of h=6-0.3(0)=6 inches when you drink 0 ounces of juice and max height of 0 inches, when you drink 20 ounces of juice.
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