Identifying Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

Does this table represent a function? (Example: x: 1, 2, 3; y: 4, 4, 5)

Back

No, because the input '2' has two outputs (4).

Front

Do these ordered pairs represent a function? (Example: (1, 2), (2, 3), (3, 4))

Back

Yes, because each input has a unique output.

Front

Does this table represent a function? (Example: x: 1, 1, 2; y: 3, 4, 5)

Back

No, because the input '1' has two outputs (3 and 4).

Front

Is the given diagram an example of a function? (Example: Input 1 -> Output A, Input 2 -> Output B)

Back

Yes, because every input is associated with exactly one output.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What are ordered pairs?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for 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, but each input must have only one output.