Identifying Functions

Front

Does the mapping of these points represent a function?

Back

Function

Front

What is the definition of function?

Back

Every input has only ONE output.

Front

Is the relation a function? Why?

Back

No, because the x-value 11 has two y-values pair with it.

Front

Is this relation a function?

Back

Yes.

Front

How do you determine if a relation is a function?

Back

The vertical line test crosses only one point on the graph.

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function by checking if a vertical line crosses the graph at more than one point.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs.

Front

What is an example of a function?

Back

f(x) = 2x + 3, where each x-value has one corresponding y-value.

Front

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

Back

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