Hello,

I don't know how to do this, please help.
Thank you.

1).Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x) = 5x2 − 3x + 2, [0, 2]
Yes, it does not matter if f is continuous or differentiable, every function satifies the Mean Value Theorem.
Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on double-struck R.
No, f is not continuous on [0, 2].
No, f is continuous on [0, 2] but not differentiable on (0, 2).
There is not enough information to verify if this function satifies the Mean Value Theorem.

If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisify the hypotheses, enter DNE).
c =

2).Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x) = ln x, [1, 7]
Yes, it does not matter if f is continuous or differentiable, every function satisfies the Mean Value Theorem.
Yes, f is continuous on [1, 7] and differentiable on (1, 7).
No, f is not continuous on [1, 7].
No, f is continuous on [1, 7] but not differentiable on (1, 7).
There is not enough information to verify if this function satisfies the Mean Value Theorem.

If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).
c=