Average Rate of Change (HSC SSCE Mathematics Advanced): Flashcards

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Average Rate of Change
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Average rate of change

How much output changes per unit change in input over an interval

Secant line

A straight line passing through two points on a function's graph

Formula for average rate of change

f(b)f(a)ba\frac{f(b) - f(a)}{b - a}

Δy\Delta y in the formula

Change in function's output: f(b)f(a)f(b) - f(a)

Δx\Delta x in the formula

Change in input: bab - a

Symbol delta (Δ\Delta) meaning

Change in

Geometric meaning of average rate of change

Gradient (slope) of the secant line

Alternative term for the formula calculation

Rise over run

Real-world examples of average rate of change

Average speed, rate of volume change, population growth rate

Points connected by secant line

(a,f(a))(a, f(a)) and (b,f(b))(b, f(b))

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