Question

silas makes a graph that shows inputs on the x - axis and outputs on the y - axis. silas wants to know if the graph shows a function.
input = 1: exactly one output, which is 2
input = 2: exactly one output, which is 1
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: Recall function definition

A function is a relation where each input (x - value) has exactly one output (y - value).

Step2: Analyze input = 3

Look at the graph for \(x = 3\) (input = 3). We can see that there are two points with \(x = 3\) (different y - values). So for input 3, there are more than one output.

Answer:

more than one output