4. Looking at the picture below, the DISTANCE traveled by this person starting at position A to B to C to D to Ais*

Which of the following is considered to be a vector?               a.  temperature    b.  velocity    c.  time    d.  mass

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

I’ve been stuck on this for a while