How do you find the average rate of change of #3x^2 -2x +1# over the interval [-1,1]?
1 Answer
May 22, 2018
Explanation:
#"the average rate of change gives a measure of the slope"#
#"of the "color(blue)"secant line"" in the interval "[a,b]#
#"average rate of change "=(f(b)-f(a))/(b-a)#
#"here the interval "[a,b]=[-1,1]#
#f(b)=f(1)=3-2+1=2#
#f(a)=f(-1)=3+2+1=6#
#rArr(2-6)/(1-(-1))=(-4)/2=-2larrcolor(blue)"average rate of change"#