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) 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

How can you determine if a mapping is a function?

Back

A mapping is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x) for which the function is defined.

Front

What is the range of a function?

Back

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

Front

What does it mean if a graph fails the vertical line test?

Back

If a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {-4, 0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {-4, -3, 1}.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve more than once.

Front

What is the difference between domain and range?

Back

Domain refers to the set of input values, while range refers to the set of output values of a function.