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Algebra 1

5.9.4 Deciding on Graphing Window

Algebra 15.9.4 Deciding on Graphing Window

5.9.4 Deciding on Graphing Window

5.9.4 • Deciding on Graphing Window

Activity

The equation m = 20 · ( 0.8 ) h m = 20 · ( 0.8 ) h models the amount of medicine m m (in milligrams) in a patient’s body as a function of hours, h h , after injection.

1. Without using a graphing tool, decide if the following horizontal and vertical boundaries are suitable for graphing this function.

Be prepared to show your reasoning. − 10 < h < 100 − 10 < h < 100 − 100 < m < 1 , 000 − 100 < m < 1 , 000

2. Verify your answer by graphing the equation using graphing technology and using the given graphing window. What do you see? Sketch or describe the graph.

3. If your graph in the previous question is unhelpful, modify the window settings so that the graph is more useful. Record the window settings here. Convince a partner why the horizontal and vertical boundaries that you set are better.

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