Given f(x) = −7 + x2, calculate the average rate of change on each of the given intervals.

Question

(a)The average rate of change of f(x) over the interval [−4, −3.9]  is

(b)The average rate of change of f(x) over the interval [−4, −3.99]

 is

(c)The average rate of change of f(x) over the interval [−4, −3.999] is 

(d) Using (a) through (c) to estimate the instantaneous rate of change of f(x)  at x = −4, we have

Answer 1

(a) [f(-.3.9) - f(-4)] / (-3.9 - (-4)) = ?

(b) [f(-.3.99) - f(-4)] / (-3.99 - (-4)) = ?

(c) [f(-.3.999) - f(-4)] / (-3.999 - (-4)) = ?

(d) What is your estimate?