Functions (ordered pairs & tables)

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where 'x' is the first element and 'y' is the second element.

Front

What does it mean for y to be a function of x?

Back

It means that for each value of x, there is exactly one corresponding value of y.

Front

How can you determine if a table represents y as a function of x?

Back

Check if each x-value is paired with only one y-value. If any x-value has multiple y-values, it is not a function.

Front

What is the 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 a relation in mathematics?

Back

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

Front

Give an example of a function using ordered pairs.

Back

Example: {(1, 2), (2, 3), (3, 4)} - Each x-value has a unique y-value.

Front

What is a non-function in terms of ordered pairs?

Back

Example: {(1, 2), (1, 3)} - The x-value '1' is paired with two different y-values.

Front

What is a mapping diagram?

Back

A visual representation that shows how each element of a set is paired with elements of another set.

Front

What is the domain of a function?

Back

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