How do you find the average rate of change of #y=4x-3x^2# over [2,3]?
1 Answer
Sep 11, 2017
Explanation:
#"the average rate of change of a function f(x) over an "#
#"interval between 2 points is the slope of the "color(blue)"secant"#
#"connecting the 2 points"#
#"this is found using the following"#
#(f(b)-f(a))/(b-a)to[a,b]#
#"here "[a,b]=[2,3]#
#rArrf(b)=f(3)=12-27=-15#
#rArrf(a)=f(2)=8-12=-4#
#"average rate of change "=(-15-(-4))/(3-2)=-11#
