Question

Which input value produces the same output value for the two functions on the graph

Answer 1

You've got it right. It is -2.
when x=-2, both line have the same y value 1.

Answer 2

Answer: x=-2

Step-by-step explanation:

In the given picture, we have two lines which are intersecting at (-2,1).

Now, to find the input value which produces the same output value for the two functions on the graph, we need to check the one common point of the functions on the given graph.

i.e. we need to check the intersecting point of both the lines.

As we can see that the intersecting point of the lines = (-2,1)

i.e. both the lines have one common point i.e. (-2,1)

Hence, the input value of $x=-2$ produces the same output value for the two functions on the graph i.e. $y=1$.