Functions (Part 1)

Front

What is the definition of a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a set of values is a function?

Back

A set of values is a function if each x-value is paired with only one y-value.

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one x-value is paired with more than one y-value.

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

Front

Give an example of a function using ordered pairs.

Back

(2, 3), (3, 5), (4, 7) is a function because each x-value is unique.

Front

Give an example of a relation that is not a function using ordered pairs.

Back

(1, 2), (1, 3), (2, 4) is not a function because the x-value 1 has two different y-values.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output value is paired with exactly one input value.

Front

What is a many-to-one function?

Back

A many-to-one function is a function where multiple input values can produce the same output value.