Mean Value Theorem Practice Test

Yes, because $t(1)=5$.

No, because MVT does not apply on intervals of length 1.

Yes, because $t$ is continuous so its derivative is 5 everywhere.

Yes, because $t$ is continuous on $[0,1]$ and differentiable on $(0,1)$, so some $c$ has $t'(c)=\dfrac{5-0}{1-0}=5$.

No, because MVT requires $t(0)=t(1)$.