Can you interpret and/or estimate instantaneous rate of change in multiple representations?
Line a
Line b
Line c
Line d
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0.02
–0.02
7.25
–7.25
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Expression 1:
Expression 2:
Expression 3:
Expression 4:
Expression 5:
Expression 6:
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0.1
0.4
0.8
3.5
Undefined
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Average rate of change requires specifying two points on a graph while instantaneous rate of change requires only one.
Average rate of change can be interpreted as a slope while instantaneous rate of change can not.
Average rate of change can be for any function while instantaneous rate of change is only for nonlinear functions.
Average rate of change can be calculated as a difference quotient while instantaneous rate of change is a limit of a difference quotient.
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