Identifying Functions

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

Which of the following sets of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function.

Front

Does this mapping diagram represent a function?

Back

Yes, because each input goes to one and only one output.

Front

Is this a function? (Provide a yes or no answer)

Back

No, it is not a function.

Front

Is this graph a function or not a function?

Back

Function.

Front

What is the definition of a function?

Back

A function has inputs and outputs, where every input has only ONE output.

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 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

Can a function have the same output for different inputs?

Back

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