Using Our Notes

Front

What is the format for how an ordered pair is written?

Back

(x,y)

Front

What is the range of the function {(-1, 0), (-2, -2), (3, 4), (-9, 5), (0, 6)}?

Back

{-2, 0, 4, 5, 6}

Front

What is an ordered pair in mathematics?

Back

An ordered pair is a pair of elements (x, y) where 'x' is the first element and 'y' is the second element, used to represent a point in a coordinate system.

Front

How do you determine the range of a function from a set of ordered pairs?

Back

The range of a function is the set of all second elements (y-values) from the ordered pairs.

Front

What is the domain of a function?

Back

The domain of a function is the set of all first elements (x-values) from the ordered pairs.

Front

What is the difference between domain and range?

Back

Domain refers to the set of input values (x-values), while range refers to the set of output values (y-values) of a function.

Front

How can you represent a function using a set of ordered pairs?

Back

A function can be represented as a set of ordered pairs where each input (x-value) is associated with exactly one output (y-value).

Front

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

Back

A function is one-to-one if each element of the range is paired with exactly one element of the domain, meaning no two different inputs produce the same output.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

How do you identify if a relation is a function from a set of ordered pairs?

Back

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