How do you find the average rate of change of #f(x)=-3x^2+2# between [0,3]?

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Answer 1 · 2018-05-05T13:14:47

Average rate of change#=-9#

The average rate of change is denoted by this formula

#(f(x_a)-f(x_b))/(a-b)#

Let #a=3# and #b=0#,

#(f(3)-f(0))/(3-0)#

Expand,

#((-3(3)^2+2)-(-3(0)^2+2))/3#

Simplify,

#(-25-2)/3#

Solve,

#-9#