EXTRA CREDIT FLASHCARDIZZ: Functions

Front

What is a function in mathematics?

Back

A function is a relation in which each input (x-value) is associated with 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

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated in the set of ordered pairs.

Front

What does it mean for x-values to repeat in a relation?

Back

If x-values repeat, it means that a single input is associated with multiple outputs, which violates the definition of a function.

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 is the significance of 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

What does it mean for a graph to be linear?

Back

A linear graph is a straight line that represents a constant rate of change between the variables.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but does not have to.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.