Average rate of change of function f(x)=x ^3 +1 over the interval [2,3] will be?
- 21
- 20
- 19
- None of these
Explanation
To find the average rate of change:
Average rate of change = (f(3) - f(2)) / (3 - 2)
f(3) = 3^3 + 1 = 28
f(2) = 2^3 + 1 = 9
Average rate of change = (28 - 9) / 1 = 19
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- Factoring the polynomial
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