5-1 Identify Functions

Front

What are all of the y values or outputs in a function called?

Back

Range

Front

What is the definition of a function in mathematics?

Back

A relation where each input (x value) has exactly one output (y value).

Front

What is the domain of a function?

Back

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

Front

What is a relation in mathematics?

Back

A set of ordered pairs, which can include functions but is not limited to them.

Front

How can you tell if a set of ordered pairs is a function?

Back

If no x value repeats with a different y value.

Front

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

Back

It means that at least one x value is associated with more than one y value.

Front

What is a vertical line test?

Back

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

What is an example of a function?

Back

The set of ordered pairs {(1, 2), (2, 3), (3, 4)}.

Front

What is an example of a relation that is not a function?

Back

The set of ordered pairs {(1, 2), (1, 3), (2, 4)}.

Front

What is the range of the function f(x) = x^2?

Back

The range is all non-negative real numbers [0, ∞).