Question

16 what is the output of this function when the input is 4? output value = \boxed{}

Explanation:

Step1: Locate input x=4

Find the point on the x - axis where \( x = 4 \).

Step2: Find corresponding y - value

Draw a vertical line from \( x = 4 \) up (or down) to intersect the function graph. Then draw a horizontal line from that intersection point to the y - axis. From the graph, when \( x = 4 \), the y - value (output) is - 5? Wait, no, let's re - examine. Wait, looking at the graph, when x = 4, the function's y - coordinate: let's check the grid. The x - axis has marks at 0, 2, 4, 6, 8... The y - axis has marks. Wait, maybe I misread. Wait, the graph: when x = 4, let's see the curve. Wait, maybe the correct value: looking at the graph, when x = 4, the y - value is - 5? Wait, no, let's check again. Wait, the graph: the part for x>0, the curve is a parabola - like? Wait, when x = 4, the y - coordinate: let's see the vertical line at x = 4. The graph at x = 4: looking at the y - axis, the grid lines. Wait, maybe the correct output is - 5? Wait, no, maybe I made a mistake. Wait, let's look at the graph again. The function at x = 4: the y - value. Let's see, the x - axis is labeled with 0, 2, 4, 6, 8. The y - axis: below 0, the values are - 2, - 4, - 6... So when x = 4, the point on the graph: let's see, the curve for x>0, when x = 4, the y - value is - 5? Wait, no, maybe it's - 5? Wait, no, let's check the graph's coordinates. Wait, maybe the correct output is - 5? Wait, no, perhaps I misread. Wait, the graph: when x = 4, the y - coordinate is - 5? Wait, no, let's see, the vertical line at x = 4 intersects the graph, and then the horizontal line to y - axis: the y - value is - 5? Wait, maybe.

Wait, maybe I made a mistake. Let's re - analyze. The input is x = 4, so we need to find f(4). Looking at the graph, for x = 4, the y - coordinate (output) is - 5? Wait, no, maybe it's - 5. Wait, let's check the grid. The x - axis: each grid square is 1 unit. The y - axis: each grid square is 1 unit. So at x = 4, the point on the graph: moving up from x = 4, the graph is at y = - 5? Wait, maybe.

Answer:

-5