Relations and Functions Flashcard

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

What is a function?

Back

A function is a special type of relation where each input (x) is associated with exactly one output (y).

Front

What is the domain of a relation?

Back

The domain is the set of all possible input values (x) for a relation.

Front

What is the range of a relation?

Back

The range is the set of all possible output values (y) for a relation.

Front

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) values increase, the output (y) values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input (x) values increase, the output (y) values decrease.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a relation by showing how each input is paired with an output.

Front

What is a constant speed?

Back

Constant speed means that an object covers equal distances in equal intervals of time.

Front

What is the difference between speed and velocity?

Back

Speed is a scalar quantity that refers to how fast an object is moving, while velocity is a vector quantity that includes both speed and direction.