Instantaneous Rate Of Change
5 Questions
| Total Attempts: 572
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). - ProProfs]( "Estimate the instantaneous rate using the graph of y = f(x).")
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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