HCPS: Domain, Range, and Functions

Front

What is the definition of 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 is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Given the relation (1, 2), (2, 3), (3, 4), what is the domain?

Back

The domain is {1, 2, 3}.

Front

Given the relation (1, 2), (1, 3), (2, 4), is this a function?

Back

No, because the input value 1 has two different outputs (2 and 3).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph.

Front

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

Back

List all the y-values from the ordered pairs and remove duplicates to find the range.

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input value corresponds to more than one output value.

Front

If the ordered pairs are (2, 5), (3, 5), (4, 6), what is the range?

Back

The range is {5, 6}.