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IM Alg1.4.11 Lesson: Domain and Range (Part 2)

Which one doesn't belong?

AB

CD


A child gets on a swing in a playground, swings for 30 seconds, and then gets off the swing.

Here are descriptions of four functions in the situation and four graphs representing them. The independent variable in each function is time, measured in seconds.

Match each function with a graph that could represent it. Then, label the axes with the appropriate variables. Be prepared to explain how you make your matches.

On each graph, mark one or two points that—if you have the coordinates—could help you determine the domain and range of the function. Be prepared to explain why you chose those points.

Once you receive the information you need from your teacher, describe the domain and range that would be reasonable for each function in this situation

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 . 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. Find .

Solve .

Describe the domain of the function.

Describe the range of the function.

In function , the input was time in seconds and the output was height in feet.  Think about some other quantities that could be inputs or outputs in this situation. Describe a function whose domain includes only integers. Be sure to specify the units.

Describe a function whose range includes only integers. Be sure to specify the units.

Sketch a graph of each function.