The average rate of change of the function given is 56
The formula for calculating the rate of change of a function is expressed as;
f'(x) = f(b)-f(a)/b-a
where
b = 4
a = 2
f(4) = 2(4)^3 +1
f(4) = 129
f(2) = 2(2)^3 + 1
f(2) = 17
Substitute
f'(x) = 129-17/4-2
f'(x) = 112/2
f'(x) = 56
Hence the average rate of change of the function given is 56
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