Question

input = 1: exactly one output, which is 2
input = 2: exactly one output, which is 3
when the input is 3, how many outputs are there?
exactly one output, which is 2
exactly one output, which is 3
more than one output

Explanation:

Step1: Analyze the graph

Look at the graph. For input (x - value) = 3, check the number of points (outputs, y - values) at x = 3.
From the graph, at x = 3, there is one point with y - value = 3? Wait, no, wait. Wait, the graph: x = 1 has y = 2, x = 2 has y = 3, x = 3: let's see the grid. Wait, the x - axis is 0,1,2,3,4,5. At x = 3, there is a point? Wait, no, wait the points: (1,2), (2,3), (3,3)? Wait, no, the points are: (1,2) [x=1, y=2], (2,3) [x=2, y=3], (3,3)? Wait, no, looking at the graph, at x = 3, there is one point? Wait, no, wait the options. Wait, the third option is "more than one output". Wait, no, wait the graph: let's check the coordinates. The points are: (1,2) (x=1, y=2), (2,3) (x=2, y=3), (3,3)? Wait, no, maybe I misread. Wait, the x = 3: is there one or more? Wait, the graph shows at x = 3, there is one point? No, wait, maybe the graph has at x = 3, one point? Wait, no, the options: the third option is "more than one output". Wait, no, let's re - examine. Wait, the input is 3 (x = 3). How many y - values (outputs) correspond to x = 3? From the graph, at x = 3, there is one point? Wait, no, maybe the graph has two points? Wait, no, the given points: (1,2), (2,3), (3,3)? No, maybe the graph at x = 3 has one point with y = 3? Wait, no, the options: the third option is "more than one output". Wait, maybe I made a mistake. Wait, the problem is about functions? Wait, no, the question is when input is 3, how many outputs. Let's look at the graph again. The x - axis is 0 - 5, y - axis 0 - 5. The points are: (1,2) (x=1, y=2), (2,3) (x=2, y=3), (3,3)? No, wait, maybe at x = 3, there is one output (y = 3), so the second option? Wait, no, the second option is "exactly one output, which is 3". Wait, but let's check the graph. Wait, the point at x = 3: is it (3,3)? Then y = 3, so exactly one output (y = 3). Wait, but maybe I misread the graph. Wait, the original graph: let's see the dots. The dot at x = 1 (y = 2), x = 2 (y = 3), x = 3: one dot with y = 3? So the second option: "exactly one output, which is 3". Wait, but the third option is "more than one output". Wait, maybe the graph has at x = 3, one output. So the correct option is the second one? Wait, no, wait the options:

First option: exactly one output, which is 2 – no, because at x = 3, y is not 2.

Second option: exactly one output, which is 3 – if at x = 3, y = 3, then this is correct.

Third option: more than one output – if at x = 3, there are two or more y - values, but from the graph, it's one. Wait, maybe the graph has at x = 3, one point with y = 3. So the answer is the second option. Wait, but let's confirm. The input is 3 (x = 3), output is y. From the graph, x = 3 corresponds to y = 3, so exactly one output (y = 3). So the second option: "exactly one output, which is 3".

Step2: Match with options

The first option says output is 2, which is wrong. The second option says exactly one output (y = 3), which matches if at x = 3, y = 3. The third option says more than one, which is wrong. So the correct option is the second one.

Answer:

exactly one output, which is 3 (the second option: exactly one output, which is 3)