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

Answer:

Yes

Step-by-step 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).