Unit 5 Study Guide-Advanced Math

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

How do you determine the domain of a relation?

Back

The domain of a relation is the set of all possible x-values (inputs) from the ordered pairs.

Front

How do you determine the range of a relation?

Back

The range of a relation is the set of all possible y-values (outputs) from the ordered pairs.

Front

Given the relation \{(1,-1), (4,8), (9,-1), (3,2)\}, what is the domain?

Back

The domain is \{1, 4, 9, 3\}.

Front

Given the relation \{(1,-1), (4,8), (9,-1), (3,2)\}, what is the range?

Back

The range is \{-1, 8, 2\}.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where the first number represents the x-coordinate and the second number represents the y-coordinate.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Front

How can you visually represent a relation?

Back

A relation can be represented using a graph, where each ordered pair corresponds to a point on the coordinate plane.

Front

What is the difference between domain and range?

Back

Domain refers to the set of all possible inputs (x-values), while range refers to the set of all possible outputs (y-values).

Front

If a relation has the ordered pairs \{(2,3), (2,4), (3,5)\}, is it a function?

Back

No, it is not a function because the input 2 is associated with two different outputs (3 and 4).