APFIVE Properties of the Difference Quotient
All of the following statements regarding the difference quotient and the average rate of change are true EXCEPT:
A
For a finite nonzero h, the difference quotient gives the slope of the secant line between two points.
B
Although the derivative is found by taking the limit as h approaches 0, the unaltered difference quotient computes the average rate over an interval.
C
When computing the average rate of change over a finite interval, the formula $$\frac{f(b)-f(a)}{b-a}$$ is used without taking a limit.
D
The difference quotient always requires the use of a limit to compute the average rate of change.
Question Leaderboard
| Rank | |||||
|---|---|---|---|---|---|
| #1 | nguyenannguyen175 | 1 | 1 | 0m 34s | 66 |
| #2 | lulut.alsaleh | 1 | 3 | 0m 52s | 28 |
| #3 | suhanakochhar006 | 0 | 1 | 0m 28s | -38 |
| #4 | choiwonryeol | 0 | 2 | 0m 34s | -54 |
| #5 | fsfa.alsharif | 1 | 1 | 3m 05s | -85 |
| #6 | y.seong2027 | 1 | 2 | 3m 39s | -129 |
| #7 | ryu.yooyongwatana | 1 | 2 | 3m 46s | -136 |
| #8 | aibekn386 | 1 | 4 | 6m 23s | -313 |
| #9 | kamalkaren31 | 1 | 2 | 6m 48s | -318 |
| #10 | annika.h.seasholes | 1 | 4 | 6m 44s | -334 |
Items per page:
10
1 – 10 of 10