Question

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

Explanation:

Step1: Analyze the graph

In a coordinate graph, the x - value represents the input and the y - value represents the output. For the input \(x = 2\), we look at the point(s) on the graph where \(x=2\).
From the given graph, when \(x = 2\), the corresponding \(y\) - value (output) is 3 (there is one point at \((2,3)\)). Wait, no, wait. Wait, looking at the graph again, the points are \((1,2)\), \((2,3)\), \((3,3)\), \((4,4)\). Wait, when \(x = 2\), the \(y\) - coordinate is 3, and there is only one point with \(x = 2\)? Wait, no, the point at \(x = 2\) is \((2,3)\), and \(x=3\) is \((3,3)\). Wait, the question is about input \(x = 2\). So we check the \(y\) - value for \(x = 2\). The graph has a point at \((2,3)\), so for input \(x = 2\), the output is 3, and there is exactly one output.

Step2: Evaluate the options

• Option 1: says output is 1, which is wrong as per the graph.
• Option 2: says output is 3, which matches the \(y\) - value for \(x = 2\) (the point \((2,3)\) exists and there is only one point for \(x = 2\)).
• Option 3: says more than one output, but there is only one point with \(x = 2\), so this is wrong.

Answer:

exactly one output, which is 3