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].

On a certain portion of an experiment, a statistical test result yielded a p-value of 0.21. what can you conclude? 2(0.21) = 0.42 < 0.5; the test is not statistically significant. if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time, so the test is not statistically significant. 0.21 > 0.05; the test is statistically significant. if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time, so the test is not statistically significant. p = 1 - 0.21 = 0.79 > 0.05; the test is statistically significant.