Instantaneous Rate Of Change

5 Questions | Total Attempts: 572

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Instantaneous Rate Of Change

Can you interpret and/or estimate instantaneous rate of change in multiple representations?


Questions and Answers
  • 1. 
    The graph shows y = f(x) in purple. Which line has a slope equal to the rate expression shown? 
    • A. 

      Line a

    • B. 

      Line b

    • C. 

      Line c

    • D. 

      Line d

  • 2. 
    Estimate the instantaneous rate using the graph of y = f(x).
    • A. 

      0.02

    • B. 

      –0.02

    • C. 

      7.25

    • D. 

      –7.25

  • 3. 
    Acceleration is the rate of change of velocity. If the velocity of a car driving on a straight road is given by v(t), which of the following expressions represent the car's instantaneous expression at t = 5 seconds? (Check all that apply.)
    • A. 

      Expression 1:

    • B. 

      Expression 2:

    • C. 

      Expression 3:

    • D. 

      Expression 4:

    • E. 

      Expression 5:

    • F. 

      Expression 6:

  • 4. 
    Estimate the instantaneous rate of change of H(x) = sin(ln x2) at x = –3
    • A. 

      0.1

    • B. 

      0.4

    • C. 

      0.8

    • D. 

      3.5

    • E. 

      Undefined

  • 5. 
    Which statement(s) correctly contrast average rate of change and instantaneous rate of change?
    • A. 

      Average rate of change requires specifying two points on a graph while instantaneous rate of change requires only one. 

    • B. 

      Average rate of change can be interpreted as a slope while instantaneous rate of change can not.

    • C. 

      Average rate of change can be for any function while instantaneous rate of change is only for nonlinear functions.

    • D. 

      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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