IM 8.5.6 Lesson: Even More Graphs of Functions
Here are five pictures of a dog taken at equal intervals of time.
Diego and Lin drew different graphs to represent this situation:
They both used time as the independent variable. What do you think each one used for the dependent variable? Explain your reasoning.
Jada is training for a swimming race. The more she practices, the less time it takes for her to swim one lap.
Name the independent and dependent variables.
Pick the graph that best fits the situation, or sketch the graph if one isn't provided. Label the axes.
Which quantity is a function of which? Be prepared to explain your reasoning.
Andre adds some money to a jar in his room each week for 3 weeks and then takes some out in week 4.
Name the independent and dependent variables.
Pick the graph that best fits the situation, or sketch the graph if one isn't provided. Label the axes.
Which quantity is a function of which? Be prepared to explain your reasoning.
You will use the tools in the applet for creating a visual display that shows your response to each question.
Here is a story: “Noah was at home. He got on his bike and rode to his friend’s house and stayed there for awhile. Then he rode home again. Then he rode to the park. Then he rode home again.”
Note: To change the values on the axes, select the Move Graphics tool, click near the end of the axis you want to change, and drag it to grow or shrink it.
Which quantity is a function of which? Explain your reasoning.
Based on your graph, is his friend’s house or the park closer to Noah's home? Explain how you know.
Read the story and all your responses again. Does everything make sense? If not, make changes to your work.
It is the year 3000. Noah’s descendants are still racing around the park, but thanks to incredible technological advances, now with much more powerful gadgets at their disposal. How might their newfound access to teleportation and time-travel devices alter the graph of stories of their daily adventures?
Could they affect whether or not the distance from home is a function of the time elapsed?