IM 8.5.7 Lesson: Connecting Representations of Functions

Here are three different ways of representing functions. How are they alike? How are they different?
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[/img][br][br][img]data:image/png;base64,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[/img]
The graph shows the temperature between noon and midnight in City A on a certain day.
[size=150]The table shows the temperature, [math]T[/math], in degrees Fahrenheit, for [math]h[/math] hours after noon, in City B. [/size][br][img]data:image/png;base64,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[/img][br][br]Which city was warmer at 4:00 p.m.?
Which city had a bigger change in temperature between 1:00 p.m. and 5:00 p.m.?
How much greater was the highest recorded temperature in City B than the highest recorded temperature in City A during this time?
Compare the outputs of the functions when the input is 3.
[size=150]The volume, [math]V[/math], of a cube with edge length [math]s[/math] cm is given by the equation [math]V=s^3[/math]. The volume of a sphere is a function of its radius (in centimeters), and the graph of this relationship is shown here.[br][br][size=100]Is the volume of a cube with edge length [math]s=3[/math] greater or less than the volume of a sphere with radius 3?[/size][/size]
If a sphere has the same volume as a cube with edge length 5, estimate the radius of the sphere.
Compare the outputs of the two volume functions when the inputs are 2.
Here is an applet to use if you choose.
Estimate the edge length of a cube that has the same volume as a sphere with radius 2.5.
[size=150]Elena’s family is driving on the freeway at 55 miles per hour.[br][br]Andre’s family is driving on the same freeway, but not at a constant speed.  The table shows how far Andre's family has traveled, [math]d[/math], in miles, every minute for 10 minutes.[/size][br][img]data:image/png;base64,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[/img][br][br]How many miles per minute is 55 miles per hour?
Who had traveled farther after 5 minutes? 
After 10 minutes?
How long did it take Elena’s family to travel as far as Andre’s family had traveled after 8 minutes?
For both families, the distance in miles is a function of time in minutes. Compare the outputs of these functions when the input is 3.
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Information: IM 8.5.7 Lesson: Connecting Representations of Functions