Question: Does the function satisfy the hypotheses of the Mean ValueTheorem on the given interval? f ( x ) =3 x 2 ? 5 x +2,

Does the function satisfy the hypotheses of the Mean ValueTheorem on the given interval?

f(x) =3x² ? 5x +2, [0, 2]

Yes, it does not matter if f is continuous ordifferentiable, 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.

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 functionsatifies the Mean Value Theorem.

If it satisfies the hypotheses, find all numbers c thatsatisfy the conclusion of the Mean Value Theorem. (Enter youranswers as a comma-separated list. If it does not satisify thehypotheses, enter DNE).

c =

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