What is the average rate of change of the function #f(x) = 2x^2 - 3x - 4# for #-3<=x<=-1#?
1 Answer
Mar 29, 2016
-11
Explanation:
the average rate of change can be found using
# (f(b) - f(a))/(b-a) # in this question :
# (f(-1) - f(-3))/(-1 -(-3)) # now f(-1) =
#2(-1)^2 - 3(-1) - 4 = 1 # and f(-3)
# = 2(-3)^2 - 3(-2) - 4 = 23#
#rArr (1 - 23)/(-1-(-3)) = -22/2 = -11#
