Need help with question 1) and 2) please ASAP ??? 15 points ?

The frequencies refer to the sample data collected from a population of interest when performing a hypothesis test comparing two or more population proportions.

Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k

What are some important factors to consider when choosing a warm-up before your workout?