FUNctions review 2024

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 domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

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

Back

A relation is a function if every x-value is paired with only one y-value.

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function because each x-value has one corresponding y-value.

Front

What is an example of a relation that is not a function?

Back

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

Front

What is the difference between input and output in a function?

Back

Input refers to the x-values (domain), while output refers to the y-values (range).

Front

What is a dependent variable?

Back

A dependent variable is the output of a function, typically represented as y, which depends on the input x.

Front

What is an independent variable?

Back

An independent variable is the input of a function, typically represented as x, which can be freely chosen.

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each input is paired with an output in a function.