Domain and Range

Front

What is the definition of domain in a relation?

Back

The domain of a relation is the set of all x-values.

Front

What is the definition of range in a relation?

Back

The range of a relation is the set of all y-values or outputs.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs.

Front

What is a function?

Back

A function is a relation where every input (x-value) is paired with exactly one output (y-value).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is paired with exactly one input.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if any vertical line intersects the graph at more than one point.

Front

What is the significance of the range in real-world applications?

Back

The range can represent possible outcomes or values in real-world scenarios, such as scores, prices, or measurements.

Front

Can a function have a domain that includes negative numbers?

Back

Yes, a function can have a domain that includes negative numbers, depending on the context of the problem.