8.5G Functions

Front

What is the definition of a function?

Back

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

Front

Is the set of ordered pairs (1,2), (2,3), (3,4) a function?

Back

Yes, it is a function because each input has a unique output.

Front

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

Back

No, because the x-value 1 has two y-values (2 and 3) paired with it.

Front

Does this mapping diagram represent a function? (Input: 1 -> 2, 1 -> 3)

Back

No, because there are repeating input values.

Front

Which of the following is a function? (A: (1,2), B: (1,3), C: (2,2), D: (2,3))

Back

D is a function because each input has a unique output.

Front

What is an input in a function?

Back

An input is the value you provide to a function, often represented as x.

Front

What is an output in a function?

Back

An output is the result you get from a function after applying an input, often represented as y.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.

Front

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

Back

A one-to-one function means that each input has a unique output and no two inputs share the same 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.