- #1

- 319

- 0

## Main Question or Discussion Point

Let D[a,b] be the set of piece-wise continuous functions on the close interval [a,b]. Show that D[a,b] is a subspace of the vector space P[a,b] of all functions defined on the interval [a,b].

Can someone get me started? Do I just need to show that they are closed under addition and subtraction? If so, how do I show that? Thanks.

Can someone get me started? Do I just need to show that they are closed under addition and subtraction? If so, how do I show that? Thanks.