W#9 - 8th - Function - Mapping Diagram

Front

What is a mapping diagram?

Back

A mapping diagram is a visual representation of a function that shows how each element in the domain is paired with an element in the range.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from the domain.

Front

What does it mean for a mapping diagram to represent a function?

Back

It means that each input (or domain value) is connected to exactly one output (or range value) in the diagram.

Front

Can a single input be connected to multiple outputs in a function?

Back

No, in a function, each input must be connected to only one output.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

If a mapping diagram has an input connected to two different outputs, does it represent a function?

Back

No, it does not represent a function because a function cannot have multiple outputs for a single input.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you tell if a mapping diagram does not represent a function?

Back

If any input is connected to more than one output, the mapping diagram does not represent a function.

Front

What is an example of a function in a mapping diagram?

Back

If input A is connected to output 1, input B is connected to output 2, and input C is connected to output 3, this is a function.