A.4.11.3 Back to the Bouncing Ball
A tennis ball was dropped from a certain height. It bounced several times, rolled along for a short period, and then stopped. Function H gives its height over time.
Here is a partial graph of H. Height is measured in feet. Time is measured in seconds.
Use the graph to help you answer the questions.
Be prepared to explain what each value or set of values means in this situation.
1. Find H(0).
2. Solve H(x)=0.
3. Describe the domain of the function.
4. Describe the range of the function.
Display several familiar graphs of functions from this unit. Here are some examples.
Ask students to examine the graphs and use them to help summarize what graphs can tell us about the domain and range of functions. Ask students to complete the following prompts as thoroughly as they can.
Ask students to examine the graphs and use them to help summarize what graphs can tell us about the domain and range of functions. Ask students to complete the following prompts as thoroughly as they can.
- I can learn about the domain and range of a function from a graph by looking for . . .
- A graph may not always show all that is needed to fully describe the domain and range, however. For example, it may not show . . .