Example: Estimate the rate of change given the graph below: [Graphic cannot be reproduced.] Solution: The average rate of change of a function 𝑦 = 𝑓(𝑥) over an interval [𝑎,𝑏] is 𝛥𝑥/𝛥𝑦 = (𝑓(𝑏) − 𝑓(𝑎))/(𝑏 − 𝑎). Therefore, the estimated average rate of change for the function graphed above is: (5 − 0)/(0− (−1.75) ≈ 2.86
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