Activity
A child gets on a swing in a playground, swings for 30 seconds, and then gets off the swing.
In the following activity, you will be provided with descriptions of four functions and four graphs representing them. The independent variable in each function is time, measured in seconds.
Link to Learning
Log into student.desmos.com using the information provided by your teacher to complete the activity.
Self Check
Which of the following is true about the range of the graph below?
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The range of this function only includes 10 and 75.
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The range of this function includes all values that are at least 10 and at most 75.
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The range of this function includes all values that are at least 0 and no more than 90.
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The range of this function includes all values that are at least 0 and no more than 70.
Additional Resources
Describing Domain and Range Graphs
In a previous lesson, you explored the height, , of a bungee jumper at seconds.
Assuming the jump ended at 35 seconds, what is the domain?
For domain, consider the -values, so look from left to right.
The leftmost -value is 0, and the rightmost -value is 35.
The domain includes all the values from at least 0 up to and including 35 meters.
What are the values in the range?
For the range, consider the -values, so look from bottom to top.
The lowest -value is 10, and the highest -value is about 75.
So, the range includes all of the values from at least 10 up to about 75.
Try it
Try It: Describing Domain and Range Graphs
Describe the values of the domain and range using the graph below.
Your answers may vary, but here are some examples:
Here is how to find the domain and range values of this function:
For the domain, consider the -values on the graph.
The domain includes all of the values from at least 0 through and including 3.2.
For the range, consider the -values on the graph.
The range includes all of the values from at least 0 through and including 25.