Question: (a) Consider the function f(x)=3x2+5x-17 over the interval 1,3. Verify the Mean Value Theoremfor this function by finding anx-value c such that the instantaneous rate

(a) Consider the function f(x)=3x2+5x-17 over the interval 1,3. Verify the Mean Value Theoremfor this function by finding anx-value c such that the instantaneous rate of change f'(c)is equal to theaverage rate of change for f(x) over the interval 1,3.(b) Sketch a graph of a function f(x) over an interval 1,3 such that there isnox-value where the instanta-neous rate of change f(x)is equal to the average rate of change for f(x) over the interval [1,3]. Explainwhy this function does not violate the Mean Value Theorem.

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