Which statements about the Extreme Value theorem are true? Check all that apply.

The extreme value theorem can apply to a piecewise function.
A continuous function can have a maximum value, but no minimum value, over a closed interval.
An extreme value of a continuous function can be at one of the endpoints of the given closed interval.
A quadratic function will always have its minimum and maximum values as the endpoints of a given closed interval.
Given the function f(x) = x2, the extreme value theorem guarantees the existence of a minimum and maximum value on the interval [−3, 4].