Question

which input value produces the same output value for the two functions on the graph?
○ x = -3
○ x = -2
○ x = -1
○ x = 3

Explanation:

Step1: Understand the problem

We need to find the \( x \)-value where the two functions \( f(x) \) (red line) and \( g(x) \) (blue line) intersect, because at the intersection point, the input (\( x \)) produces the same output (\( y \)) for both functions.

Step2: Identify the intersection point

Looking at the graph, the two lines intersect at the point where \( x = -2 \). We can check the coordinates of the intersection: from the grid, the intersection point has an \( x \)-coordinate of \( -2 \) and a corresponding \( y \)-coordinate (though we don't need the \( y \)-value, just the \( x \)-value where they meet).

Answer:

\( x = -2 \) (Option: \( \boldsymbol{x = -2} \))