Answer:
For a single value of x function has more than one corresponding value of y which satisfies the equation.
Step-by-step explanation:
Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.
It means for an equation to represent a function any single value of x there should be only one corresponding value of y which satisfies the equation.
Now consider the given equation.
If we put x=0 then we get two value of y i.e and which satisfy the equation and therefore the equation is not a function.
The inclusion/exclusion principle states that
That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).
Therefore,
will have the most elements when the sets
and
are disjoint, i.e.
, which would mean the most we can can in this case would be
(Note that
denotes the cardinality of the set
.)
6 7/12 I hope this helps ya out