4 True or False. Explain briefly (you can use diagram to show, or one or two short sentences). (a) For a function f: X Y, where both domain X and codomain Y are finite sets, if f is an one-to-one function, then X|< Y . For a function f: X- Y, where both domain X and codomain Y are finite sets, if f is an surjective function function, then |X| |Y.

1) Use algebraic means to show that x2 + y2 = 8 is not a function. Explain your process. 2)Is there any value(s) of the domain of x2 + y2 = 8 that passes the vertical line test? If so,name the value(s) and state whether or not the existence of this value makes this relation afunction.