Question

for what value of x is g(x) = -2?

Explanation:

Step1: Understand the problem

We need to find the value of \( x \) for which \( g(x) = -2 \) using the graph of the function \( g(x) \).

Step2: Locate \( y = -2 \) on the y - axis

Find the horizontal line corresponding to \( y=-2 \) (since \( g(x) \) is the y - value for a given \( x \)).

Step3: Find the intersection with the graph

Look for the point on the graph of \( g(x) \) where the y - coordinate is \( -2 \). Then, find the corresponding x - coordinate of that point. From the graph, we can see that when \( y=-2 \), the x - coordinate of the point on the line of \( g(x) \) is \( x = - 4 \) (by visually inspecting the grid and the line, we can trace from \( y = - 2 \) horizontally to the line and then vertically to the x - axis to find the x - value).

Answer:

\( x=-4 \)