Average Rate of Change
Which of the following statements are true? Check all that apply.
Average Rate of Change =
x
2
−
x
1
y
2
−
y
1
\displaystyle \frac{{{x}_{{2}}-{x}_{{1}}}}{{{y}_{{2}}-{y}_{{1}}}}
y
2
−
y
1
x
2
−
x
1
=
Change in x
Change in y
\displaystyle \frac{\text{Change in x}}{\text{Change in y}}
Change in y
Change in x
=
Δ
x
Δ
y
\displaystyle \frac{{\Delta{x}}}{{\Delta{y}}}
Δ
y
Δ
x
The Average Rate of Change of a function over a specified interval is the ratio:
Change in Output
Change in Input
\displaystyle \frac{\text{Change in Output}}{\text{Change in Input}}
Change in Input
Change in Output
.
The Average Rate of Change is another term for Slope over a given interval.
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