Form 9: Comparing Tables vs. Graphs (Rate of Change)
Practice comparing the rates of change between functions represented in tables and functions shown as graphs. Determine which representation has a greater or lesser rate of change.
Questions
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MultiChoice
Table has slope m = 2. Graph passes through (0,0) and (1,4). Which has greater rate of change?
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MultiChoice
Table: x=[0,1], y=[0,5]. Graph: passes through (0,0) and (2,6). Which has greater rate of change?
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MultiChoice
Table has x=[0,2], y=[1,7] (slope 3). Graph has points (0,1) and (1,4) (slope 3). How do rates compare?
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MultiChoice
Table rate = 4 units/sec. Graph slope = 5 units/sec. Which statement is true?
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MultiChoice
Table: x=[1,2,3], y=[10,8,6] (slope -2). Graph: slope -4. Which decreases faster?
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MultiChoice
How do you compare rates of change between a table and a graph?
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MultiChoice
Table: hours=[0,2], miles=[0,12]. Graph: hours=[0,3], miles=[0,24]. What are their speeds?
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MultiChoice
Table rate is 0.5. Graph line passes through (0,0) and (2,2) (slope 1). Greater rate?
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MultiChoice
Table slope = 7. Graph slope = 5. Difference between rates of change?
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MultiChoice
Table y-values decrease as x increases. Graph rises left to right. Compare rate signs.
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MultiChoice
Table: x=[0,1], y=[5,15]. Graph passes through (0,0) and (2,30). Compare rates.
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MultiChoice
Table slope = 2. Graph slope = 6. How do their rates compare?