Domain and Range

Front

What is the definition of a coordinate plane?

Back

The plane containing the x-axis and the y-axis, used to define points in a two-dimensional space.

Front

What is the definition of a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a relation is a function from a set of ordered pairs?

Back

If any x-value is repeated with different y-values, it is not a function.

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

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

Front

What does it mean if a graph passes the vertical line test?

Back

It means that the graph represents a function, as no vertical line intersects the graph at more than one point.

Front

What is an example of a function?

Back

f(x) = 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

How do you find the range of a function from a graph?

Back

Identify all the y-values that the graph reaches.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0.