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4 cards from this section. Quick, good the night before a test.
Calculate the AROC for g(x) = 2x + 1 from x = 2 to x = 5.
Use the formula for AROC.
What does a positive AROC indicate about the function's behavior?
Think about what positive change means.
What is the AROC of the function f(x) = x² between x=1 and x=3?
Think about the average slope.
True or False: The IROC can be found by evaluating the derivative at a specific point.
Derivatives give rates at points.
A car travels according to the function d(t) = 5t^2 + 3t. Find the AROC between t = 2 and t = 5 and interpret your result.
Calculate displacement at both times first.
Given f(x) = x^3 - 3x^2 + 4, find the IROC at x = 1 and interpret the slope of the tangent.
Differentiate first, then substitute x.
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