Question

For what value of c is the relation a function?

Answer 1

Answer: $c\ \epsilon\ \mathbb{R}\text{ where }c\neq 2,12,-1,0$

Step-by-step explanation:

We know that a function is a special kind of relation between two variables say x and y such that each input corresponds to exactly one output.

In the given relation , we need only one output corresponds to each input.

Then to fulfill the condition to become a function, we can take any value for c belongs to the set of real numbers other than the values which the relation already has taken as input .

Then $c\ \epsilon\ \mathbb{R}\text{ where }c\neq 2,12,-1,0$

Answer 2

For a relation to be a function, it cannot have any repeating x values.

therefore, c ,  can be ANYTHING BUT { 2,12,-1,and 0}...because if it was any of those numbers, u would have repeating x values