Is it a Function Warm-Up

Front

What is a function?

Back

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

What does it mean for a set of values to be a function?

Back

A set of values is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

Front

What is an example of a function?

Back

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

Front

What is an example of not a function?

Back

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

Front

How can you tell if a table of values represents a function?

Back

Check if any x-values are repeated with different y-values. If they are, it is not a function.

Front

What is a relation in mathematics?

Back

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

Front

What is the definition of ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent a point in a coordinate system.

Front

What does it mean for a graph to pass the vertical line test?

Back

If a vertical line drawn anywhere on the graph intersects it at most once, the graph represents a function.

Front

What is a domain in a function?

Back

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