MVT Quiz

The value of c guaranteed to exist by the MVT for  $$f\left(x\right)=x^2$$  on the interval [0,3] is:

$$f\left(x\right)=x^3+2x,\ \ \ \left[-1,1\right]$$  


Find the value of c guaranteed by the Mean Value Theorem.

Pick the function which is discontinuous in the given interval.

Verify the M.V.T. Thm.  for y = $$\frac{x^2-1}{x},\ \ \ \left[-1,1\right]$$  

$$f\left(x\right)=\left(x-4\right)\left(x-6\right)\ \ \ \ \ \ \ \left[4,10\right].$$  Verify Mean Value theorem for the given f(x).

Which of the following is a correct implication of the Extreme Value Theorem?

Find all c values that satisfy the Mean Value Theorem for f(x)=x+3cos(x) on [-π,π]

Find all c values for which the MVT works for f(x)=x²(x-1) on [0,3]