Using the graph of #f(x) = 2x^3 + x^2 - 3x+1#, what is the average rate of change from #x=-2# to #x=0#?

1 Answer
Timber Lin
May 26, 2018

#3#

Explanation:

average rate of change on #x=-2# to #x=0# is:
#(f(0)-f(-2))/(0-(-2))#
#=((2(0)^3+(0)^2-3(0)+1)-(2(-2)^3+(-2)^2-3(-2)+1))/2#
#=(1-(-5))/2#
#=3#

graph{2x^3+x^2-3x+1 [-10, 10, -7, 7]}
the graph of #f(x)# passes through points #(-2,-5)# and #(0,1)#

the slope of the line passing through those two points is the average rate of change.

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