IM 8.5.4 Lesson: Tables, Equations, and Graphs of Functions

What do you notice? What do you wonder?
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[/img]
The graphs of three functions are shown
[img]data:image/png;base64,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[/img][br][br][size=150]Match one of these equations to each of the graphs.[/size][br][br][math]d=60t[/math], where [math]d[/math] is the distance in miles that you would travel in [math]t[/math] hours if you drove at 60 miles per hour.
[math]q=50-0.4d[/math], where [math]q[/math] is the number of quarters, and [math]d[/math] is the number of dimes, in a pile of coins worth $12.50.
[math]A=\pi r^2[/math], where[math][/math][math]A[/math]is the area in square centimeters of a circle with radius [math]r[/math] centimeters.
Label each of the axes with the independent and dependent variables and the quantities they represent.
Label each of the axes with the independent and dependent variables and the quantities they represent.
Label each of the axes with the independent and dependent variables and the quantities they represent.
For each function:  What is the output when the input is 1?
 What does this tell you about the situation? Label the corresponding point on the graph.
Find two more input-output pairs. What do they tell you about the situation? Label the corresponding points on the graph.
[size=150]A function inputs fractions [math]\frac{a}{b}[/math] between 0 and 1 where [math]a[/math] and [math]b[/math] have no common factors, and outputs the fraction [math]\frac{1}{b}[/math].  For example, given the input  [math]\frac{3}{4}[/math] the function outputs [math]\frac{1}{4}[/math], and to the input [math]\frac{1}{2}[/math]  the function outputs [math]\frac{1}{2}[/math].[br] These two input-output pairs are shown on the graph.[br][br]Plot at least 10 more points on the graph of this function below. [/size][br][br] Are most points on the graph above or below a height of 0.3?
Plot at least 10 more points on the graph of this function.
Are most points on the graph above or below a height 0.01?
Kiran was running around the track. The graph shows the time, t, he took to run various distances, d. The table shows his time in seconds after every three meters.
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[/img][br][img]data:image/png;base64,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[/img][br][br]How long did it take Kiran to run 6 meters?
How far had he gone after 6 seconds?
Estimate when he had run 19.5 meters.
Estimate how far he ran in 4 seconds.
Is Kiran's time a function of the distance he has run? Explain how you know.
Priya is running once around the track. The graph shows her time given how far she is from her starting point.
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[/img][br][br]What was her farthest distance from her starting point?
Estimate how long it took her to run around the track.
Estimate when she was 100 meters from her starting point.
Estimate how far she was from the starting line after 60 seconds.
Is Priya's time a function of her distance from her starting point? Explain how you know.
Close

Information: IM 8.5.4 Lesson: Tables, Equations, and Graphs of Functions