Given the function f(x) = 2x2 − x + 3, calculate the following values. Homework Help ✎
This is the slope of the secant between x = 3 and x = 2, otherwise known as Average Rate of Change (AROC).
This is the slope of the secant between x = 2.1 and x = 2.
And this is the slope of the secant between x =____ and x =____.
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 x = 2. 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?