Function or Not

Front

What is a function?

Back

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

Front

Is the mapping (1,2), (2,3), (3,4) a function?

Back

Yes, this is a function because each input has one output.

Front

Is the mapping (1,2), (1,3), (2,4) a function?

Back

No, it's not a function because the input '1' has two different outputs.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input is associated with more than one output.

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.

Front

What is the vertical line test?

Back

The vertical line test is 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

Is the set of points {(1,2), (2,2), (3,2)} a function?

Back

Yes, this is a function because each input has one output, even though the outputs are the same.

Front

What is an example of a function in real life?

Back

An example of a function is a vending machine: each button (input) gives one specific item (output).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values).

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values).