Function or Not Function Classwork

Front

What is a function?

Back

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

Front

What must be true for a relation to be considered a function?

Back

Each x value must have only one y value.

Front

What is the vertical line test?

Back

A method 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

What is a mapping diagram?

Back

A visual representation of a function that shows how each input is paired with an output.

Front

Can a function have the same y value for different x values?

Back

Yes, a function can have the same y value for different x values.

Front

What is the domain of a function?

Back

The set of all possible input values (x values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y values) for the function.

Front

Is the relation {(1,2), (2,3), (1,4)} a function?

Back

No, because the input 1 has two different outputs (2 and 4).

Front

Is the relation {(1,2), (2,2), (3,2)} a function?

Back

Yes, because each input has exactly one output.

Front

What does it mean if a graph is 'not a function'?

Back

It means that at least one input has more than one output.