Relations, Functions, Domain and Range

Front

What is a relation in mathematics?

Back

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

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method used 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 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 do you find the domain of a function from its graph?

Back

To find the domain from a graph, identify all the x-values that the graph covers.

Front

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

Back

To find the range from a graph, identify all the y-values that the graph covers.

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the x-values increase, the y-values also increase.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing if, as the x-values increase, the y-values decrease.

Front

What is a one-to-one function?

Back

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