How do you find the average rate of change of #f(x) = x^4 + 3x^3 - 5x^2 + 2x - 2# over the interval [-1,1]?
1 Answer
May 19, 2016
5
Explanation:
The average rate of change of a function over an interval between 2 points (a ,f(a)) and (b ,f(b)) is
#color(red)(|bar(ul(color(white)(a/a)color(black)((f(b)-f(a))/(b-a))color(white)(a/a)|)))# here the 2 points are (-1 ,f(-1)) and (1 ,f(1))
#rArrf(1)=1+3-5+2-2=-1# and
#f(-1)=(-1)^4+3(-1)^3-5(-1)^2+2(-1)-2=-11#
#rArr(-1-(-11))/(1-(-1))=10/2=5#