which input value produces the same output value for the two functions on the graph?\n○ x = -3\n○ x = -2\n○…

Explanation:

Step1: Understand the problem

We need to find the ( x )-value where the two functions (represented by the two lines on the graph) intersect, because at the intersection point, the output ( ( y )-value) of both functions is the same.

Step2: Analyze the graph

Looking at the graph, the two lines intersect at a point. To find the ( x )-coordinate of the intersection point, we can observe the grid. The intersection point appears to be at ( x = -2 ) (by looking at the horizontal axis, the ( x )-value where the two lines cross). Let's verify by checking the options:

• For ( x=-3 ): The two lines do not have the same ( y )-value here.
• For ( x = -2 ): This is the ( x )-coordinate of the intersection point, so the output values ( ( y )-values) of both functions are equal here.
• For ( x=-1 ): The two lines do not have the same ( y )-value here.
• For ( x = 3 ): The two lines do not have the same ( y )-value here.

Answer:

( x = -2 ) (corresponding to the option ( x=-2 ))