Let f: x --> y be a function. (a) prove the following: if a, b c x are sabseits, then f(aub) = f(a)us(b). (b) prove the following: if a, b c x are subsets then f(an b) s f(a)n f(b). (c) give an explicit example of a function : x y and subsets a, b c x which demonstrate that the equality f(anb) = f(a)n f(b) need not hold.

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

a

step-by-step explanation:

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry