FLASHCARDB Functions, Domain, and Range(No infinity)

Front

What is the RANGE of a function?

Back

The RANGE of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the DOMAIN of a function?

Back

The DOMAIN of a function is the set of all possible input values (x-values) that the function can accept.

Front

How can you determine if a relation is a function?

Back

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

Front

What does the symbol ≤ represent in interval notation?

Back

The symbol ≤ indicates that the endpoint is included in the interval.

Front

What does the symbol < represent in interval notation?

Back

The symbol < indicates that the endpoint is not included in the interval.

Front

Given the set {(1,3),(2,1),(3,1),(4,7)}, is this a function?

Back

Yes, this is a function because each x-value is unique.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function may have multiple outputs for a single input.

Front

What is an example of a function in real life?

Back

An example of a function is the relationship between the amount of gas in a car and the distance it can travel.

Front

What is the graphical representation of a function?

Back

The graphical representation of a function is a curve or line on a coordinate plane that passes the vertical line test.

Front

What does it mean for a graph to pass the vertical line test?

Back

A graph passes the vertical line test if no vertical line intersects the graph at more than one point.