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Standards/Math/Alabama/PC.25

PC.25

PC Precalculus
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PC.25
PC.25.aPC.25.b
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PC.TF

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Extend from polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions.

PC.25.aFind the difference quotient f(x+Δx)-f(x)/Δx of a function and use it to evaluate the average rate of change at a point.PC.25.bExplore how the average rate of change of a function over an interval (presented symbolically or as a table) can be used to approximate the instantaneous rate of change at a point as the interval decreases.
Khan Academy Resources
Average rate of change reviewAverage rate of change of polynomialsAverage rate of change word problemsAverage rate of change: graphs & tablesIntroduction to average rate of changeWorked example: average rate of change from graphWorked example: average rate of change from tableSign of average rate of change of polynomialsAverage rate of change word problem: graphFinding average rate of change of polynomialsAverage rate of change word problem: table
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