Problem 41 of 7
Calculate the average rate of change of f(x)=x^2+1 over [0,3].
Hints
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evaluate endpoints and divide differences.
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Function values at interval endpoints must be exact and simple.
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Your answer is equivalent to the expected form.
Solution
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1. Evaluate the function at both interval endpoints.
2. Subtract output values and divide by interval length.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Derivative or instantaneous-rate answer when average rate is requested.