Question

find the output, y, when the input, x, is 4.
y =

Explanation:

Step1: Locate x = 4 on the x - axis

Find the position of \( x = 4 \) on the horizontal (x - axis) of the graph.

Step2: Find the corresponding y - value

From the point \( x = 4 \) on the x - axis, move vertically until we intersect the graph. The y - value at this intersection point is the output for \( x = 4 \). Looking at the graph, when \( x = 4 \), the corresponding \( y \) - value is 0? Wait, no, let's re - examine. Wait, the graph: when x = 4, the point on the graph has a y - value? Wait, no, looking at the graph, at x = 4, the graph passes through (4, 0)? Wait, no, let's check the graph again. Wait, the graph: after x = 2, it goes down to a minimum at x = 3 (y=-2), then up, crossing x = 4? Wait, no, the x - axis is marked with 2, 4, 6, 8. Wait, the graph: at x = 4, the point is on the x - axis? Wait, no, let's look at the graph's shape. Wait, the graph: from x = 2, it goes down to (3, - 2), then up, passing through x = 4? Wait, no, the x - axis is the line y = 0. Wait, maybe I made a mistake. Wait, the graph: when x = 4, the y - value? Wait, looking at the graph, at x = 4, the graph has a point where y = 0? Wait, no, let's check again. Wait, the graph: after x = 2, it goes down to a vertex at (3, - 2), then up, so at x = 4, the y - value is 0? Wait, no, when x = 4, the graph is at y = 0? Wait, no, maybe I misread. Wait, the graph: the part after x = 3 (where y=-2) goes up, so at x = 4, the y - value is 0? Wait, no, let's see the grid. Each grid square: let's assume each grid is 1 unit. So at x = 4, the graph is at y = 0? Wait, no, maybe the graph at x = 4 has y = 0? Wait, no, looking at the graph, when x = 4, the point is on the x - axis, so y = 0? Wait, no, maybe I made a mistake. Wait, the graph: from x = 2, it goes down to (3, - 2), then up, so at x = 4, the y - value is 0? Wait, yes, because it crosses the x - axis at x = 4? Wait, no, the graph crosses the x - axis at x = 2 and x = 4? Wait, looking at the graph, the line from (3, - 2) goes up, passing through (4, 0)? Wait, no, (4, 0) is on the x - axis. So when x = 4, y = 0? Wait, no, maybe I am wrong. Wait, let's start over. The problem is to find y when x = 4. So we find x = 4 on the x - axis, then find the y - coordinate of the point on the graph at x = 4. Looking at the graph, at x = 4, the graph passes through (4, 0). Wait, but maybe I made a mistake. Wait, no, let's check the graph again. The graph: after x = 2, it goes down to a minimum at (3, - 2), then up, so at x = 4, the y - value is 0. Wait, but maybe the correct y - value at x = 4 is 0? Wait, no, wait the graph: when x = 4, the point is (4, 0). So the output y when x = 4 is 0? Wait, no, maybe I misread the graph. Wait, the graph: the part from x = 0 to x = 2, y = 2, then from x = 2, it goes down to (3, - 2), then up, so at x = 4, y = 0. Yes, that makes sense. So when x = 4, y = 0.

Wait, no, wait the x - axis is y = 0. So at x = 4, the graph is on the x - axis, so y = 0.

Answer:

0