how do you find out if the domain/range diagram is a function or not

Answer 1

To determine if a domain/range diagram represents a function, you need to check if there is only one output value (range) for each input value (domain). Here's how you can do it:

1. Examine the diagram: Look at the given domain/range diagram and understand the relationship between the input and output values.

2. Identify repeated input values: Check if there are any input values that have more than one corresponding output value. If there are repeated inputs, this means that the relationship is not a function.

3. Check for unique output values: Each input should have a single unique output value. If an input value has multiple output values, the diagram does not represent a function.

4. Verify vertical line test: Draw vertical lines through the diagram. If a vertical line intersects the diagram at more than one point, the diagram is not a function. However, if each vertical line intersects the diagram at most once, the diagram is a function.

It's important to note that if a diagram passes the vertical line test, it can represent any type of function: linear, quadratic, exponential, etc.