How do you find the average rate of change of #f(x)= (3x^2-x)/2# from (8,10)?

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Answer 1 · 2016-11-06T20:01:00

Average rate of change #= 26.5#

Use the slope formula to find average rate of change:

#m=(y_2-y_1)/(x_2-x_1)#

To use the slope formula, you need 2 points on the curve - we only have to x values, so we need to find f(8) and f(10).

#f(8)=92#
#f(10)=145#

These means are points are #(x_1,y_1)=(8,92)# and #(x_2,y_2)=(10,145)#.

#m = (145-92)/(10-8)#

#m=53/2#

#m=26.5#