How do you find the average rate of change of #f(x)=x^2+3x+4# between x=2 and x=4?
1 Answer
Apr 3, 2016
9
Explanation:
The average rate of change can be found using
#( f(b) - f(a))/(b - a ) # where a and b are the values of the limits.
here a = 2 and b = 4
#f(4) = 4^2 + 3(4) + 4 = 32 # and
# f(2) = 2^2 + 3(2) + 4 = 14 #
# rArr (f(4) - f(2))/(4 - 2 ) = 18/2 = 9 #
