y = f(x) = x^2 - 3 x

(a) Find the average rate of change of y with respect to x in the following intervals.
from x = 2 to x = 3

Incorrect: Your answer is incorrect.
from x = 2 to x = 2.5

Incorrect: Your answer is incorrect.
from x = 2 to x = 2.1

Incorrect: Your answer is incorrect.

(b) Find the (instantaneous) rate of change of y at x = 2.

avg rate of change = ( f(3) - f(2) )/(3-2)

= (0 - (-2)/1 = 2

..

the last one:

avg from x = 2 to x = 2.1

avg rate of change = ( f(2.1) - f(2) )/(2.1 - 2)
= (-1.89 - (-2)/(2.1-2)
= 1.1