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2 cards from this section. Quick, good the night before a test.
Find the average rate of change of f(x) = 2x + 3 from x = 0 to x = 5.
Use the formula (f(b)-f(a))/(b-a).
Calculate the AROC for f(x) = x^2 from x = 1 to x = 4.
Compute f(4) and f(1), then use the formula.
What does AROC represent in a function?
Think about how we measure changes over time.
True or False: The IROC at a point can be found using the derivative of a function.
Remember the definition of a derivative.
A ball is thrown and its height is described by h(t) = -16t^2 + 32t + 5. Find the average rate of change from t = 1 to t = 3.
Evaluate the height function at the given time points.
For the function f(x) = x^3 - 4x, find the IROC at x = 2.
Be sure to derive the function before substituting.
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