3-1 Identify Functions and Domain and Range

Front

What is the set of all possible x-values in a function?

Back

Domain

Front

Identify the range in the relation {(9, 7), (6, 4), (3, 0), (0, -2)}.

Back

{-2, 0, 4, 7}

Front

Is the mapping {(1, 2), (1, 3), (2, 4)} a function?

Back

Not a Function

Front

What test can you use to identify a function from a graph?

Back

Vertical Line Test

Front

Is the relation {(2, 3), (2, 4), (3, 5)} a function? Why?

Back

No, because the x-value 2 has two y-values paired with it.

Front

What is the set of all possible y-values in a function?

Back

Range

Front

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

Back

Each x-value must have exactly one y-value associated with it.

Front

How can you represent the domain of a function using interval notation?

Back

By using intervals to show the range of x-values, e.g., [1, 5].

Front

What is the difference between domain and range?

Back

Domain refers to x-values, while range refers to y-values.

Front

What is the purpose of the Horizontal Line Test?

Back

To determine if a function is one-to-one.