## Related questions with answers

Question

A student calculates a function's average rate of change on an interval and finds that it is 0. The student concludes that the function is constant on the interval. Explain the students error, and give an example to support your explanation.

Solution

VerifiedThe average rate of change just means that throughout the function starts and ends in the same manner. For example, you can have the function of $f(x)=x^2$. If you start at x=-1, and end at x=1, then the average is going to be Zero, even though there was a change.

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