Let V be the set of functions having the set of real numbers as domain whose graphs pass through the point : a) (2,0)
Is V a Vector space?
To check whether V is a vector space, it must be closed under addition (i.e. if f and g are elements of V, then so must f + g) and closed under multiplication (i.e. if f is in V, then so must cf for any constant c). Also, V must include the 0 ...
The expert examines a set of functions having the set of real numbers as domains which pass through a point.