# How do you find the average rate of change for the function #f(x) = 4x^3 - 8x^2 - 3# on the indicated intervals [-5,2]?

The average rate of change for the function

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To find the average rate of change of the function ( f(x) = 4x^3 - 8x^2 - 3 ) on the interval ([-5, 2]):

- Evaluate ( f(x) ) at the endpoints of the interval: ( f(-5) ) and ( f(2) ).
- Calculate the difference in function values: ( f(2) - f(-5) ).
- Divide the difference in function values by the difference in ( x )-values (interval length): ( \frac{{f(2) - f(-5)}}{{2 - (-5)}} ).
- Simplify the expression to find the average rate of change.

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