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Home > APCALC > Chapter 2 > Lesson 2.4.1 > Problem 2-145
2-145.
Given the function
This is the slope of the secant between
and , otherwise known as Average Rate of Change (AROC).
This is the slope of the secant between
and .
And this is the slope of the secant between
____ and ____.
Estimate
. Notice that as you progressed through parts (a), (b) and (c), the secant line becomes smaller and smaller, squeezing in on the actual slope at
. Based on the patterns you see as the secant line decreases, what do you think the slope of the smallest possible secant line will be?