Function, Relations, Domain,and Range

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What are the x-values in a function called?

Back

The x-values are called the Domain.

Front

What are the y-values in a function called?

Back

The y-values are called the Range.

Front

What is the range of the following graph? (-4, 1), (6, 0)

Back

The range is the set of all y-values: -5, -1, 0, 1, 5.

Front

Which relation has a domain of {3,7} and a range of {0,5}?

Back

The relation is (3,0), (7,0), (3,5), (7,5).

Front

What is the greatest value in the range for the function y = -2x + 4 when the domain is {-5, -1, 5, 1}?

Back

The greatest value is 14.

Front

What is a relation in mathematics?

Back

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

Front

How do you find the range of a function?

Back

The range is found by determining all possible output values (y-values) for the given inputs.

Front

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

Back

A one-to-one function means that each input has a unique output, and no two inputs share the same output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line crosses the curve more than once, it is not a function.