Domain and Range

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

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

Front

How do you determine the domain of a function from a graph?

Back

The domain can be determined by identifying all the x-values that the graph covers.

Front

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

Back

The range can be determined by identifying all the y-values that the graph covers.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is the vertical line test?

Back

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

Front

What is an example of a set that represents a domain?

Back

A set of numbers such as {-4, -1, 0, 2, 7} can represent a domain.

Front

What is an example of a set that represents a range?

Back

A set of numbers such as {-3, -1, 1, 3, 5, 7, 9} can represent a range.

Front

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

Back

For a relation to be a function, each input must correspond to exactly one output.

Front

What is the significance of unique inputs in a function?

Back

Unique inputs ensure that the function is well-defined and that each input has a single output.