Algebra Review - Relations and Functions

Front

What is an independent variable?

Back

An independent variable is a variable that is manipulated or changed in an experiment to test its effects on the dependent variable.

Front

What is a dependent variable?

Back

A dependent variable is a variable that is measured in an experiment and is affected by changes in the independent variable.

Front

Define the domain of a function.

Back

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

Front

Define the range of a function.

Back

The range of a function is the set of all possible output values (y-values) that result from using the function.

Front

What is a relation in mathematics?

Back

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

Front

What is a function?

Back

A function is a special type of relation where each input (x) is associated with exactly one output (y).

Front

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

Back

To identify the range, list all the unique y-values from the ordered pairs.

Front

What does it mean if a function is defined for all real numbers?

Back

It means that the function can accept any real number as an input.

Front

What is the significance of the mapping in a function?

Back

The mapping shows how each input is paired with an output, illustrating the relationship between the two.

Front

What is the difference between a function and a relation?

Back

A function has a unique output for each input, while a relation can have multiple outputs for a single input.