Is the Relation a Function?

Front

What is a function?

Back

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

Front

What does it mean if a relation is not a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is an example of a function?

Back

The relation {(1,2), (2,3), (3,4)} is a function because each x-value has one unique y-value.

Front

What is an example of a relation that is not a function?

Back

The relation {(1,2), (1,3), (2,4)} is not a function because the input '1' has two outputs (2 and 3).

Front

What is the vertical line test?

Back

A method to determine if a graph is a function by checking if a vertical line crosses the graph more than once.

Front

What does a mapping diagram show?

Back

A visual representation of how each input is paired with an output, helping to determine if a relation is a function.

Front

What is a table of values?

Back

A structured way to display pairs of input and output values, which can be used to determine if a relation is a function.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is the definition of a one-to-one function?

Back

A function where each output is paired with exactly one input, meaning no two different inputs have the same output.