### Home > CALC > Chapter 2 > Lesson 2.4.1 > Problem 2-145

2-145.

Given the function , calculate the following values.

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?