a W1 the set of all constant functions b W2 the set of all

a. W₁ , the set of all constant functions.

b. W₂ , the set of all quadratic functions (functions defined by polynomials with degree 2).

1. Let, C1,C2 be two constant functions

HEnce, C1+C2 is also a constant function

2. Let, C1 be a constant function and c be a scalar

THen, cC1 is also a constant function

Hence, W1 is a subspace

1. Let, p be a quadratic function then -p is also a quadratic function

p+(-p)=0 is not a quadratic function

Hence W2 is not a subspace