Question

Which is an ordered pair (input/output) for the function machine shown below

Answer 1

The given function is

`f(x)=x^2-5`

The right ordered pair must be consistent with this function, that is, if we enter an x-value then we should get the y-coordinate as result.

For example, let's evaluate the pair (2, -1). First, we replace x = 2 in the function.

`f(2)=(2)^2-5=4-5=-1`

As you can observe, when we evaluate the function when x = 2, the function gave -1 as result, that means the pair (2, -1) belongs to this function.

Therefore, the right answer is b.