Question

Is it possible to have the same output (y) for two different inputs (x) in any solution set? For example: (2,9), (6,9). How do you know? Write your answer and explanation on the back on this paper.

Answer 1

Yes

Explanation:

Yes it is possible to get the same output by providing two different inputs in a solution.

For example :

Let a function,
`$y = x^2 $` ......(1)

Case 1

let x = -2, putting the value of x in equation (1), we get

`$y = x^2 $`

`$y = (-2)^2 $`

= 4

Case 2

let x = 2, putting the value of x in equation (1), we get

`$y = x^2 $`

`$y = 2^2 $`

= 4

Therefore, for both the different input (x), we get the same output (y).