How do you find the average rate of change of #f(x)=-5x+2# from [2,4]?
1 Answer
Nov 6, 2017
Explanation:
#"the average rate of change of f(x) over an interval "[a,b]#
#"is the slope of the "color(blue)"secant line"" connecting the 2 points"#
#(a,f(a))" and "(b,f(b))#
#• " average rate of change "=(f(b)-f(a))/(b-a)#
#f(b)=f(4)=-20+2=-18#
#f(a)=f(2)=-10+2=-8#
#"average rate of change "=(-18-(-8))/(4-2)#
#color(white)("average rate of change ")=-10/2=-5#
