You’re building a race car. your goal is to have a car that can go from 0 miles per hour to 80 miles per hour in 2 seconds. you’re focusing on the car’s.
a) speed
b) acceleration
c) declaration
d) velocity

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