Identifying Functions

Front

What is a function?

Back

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

Front

Which of the following sets of ordered pairs is a function? {(9,5), (10,5), (9,-5), (10,-5)}

Back

Not a function because the input 9 has two different outputs.

Front

Which of the following sets of ordered pairs is a function? {(3,4), (4,-3), (7,4), (3, 8)}

Back

Not a function because the input 3 has two different outputs.

Front

Which of the following sets of ordered pairs is a function? {(6,-5), (7, -3), (8, -1), (9, 1)}

Back

This is a function because each input has one unique output.

Front

Which of the following sets of ordered pairs is a function? {(2, -2), (5, 9), (5, -7), (1, 4)}

Back

Not a function because the input 5 has two different outputs.

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 at more than one point, it is not a function.

Front

What does it mean for a relation to be one-to-one?

Back

A one-to-one relation is a function where each output is paired with exactly one input, and no two inputs share the same output.

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, as long as each input has only one output.