domain and range day 3

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

How can you determine if a set of ordered pairs is a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

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

Back

The domain is {0, 1, 2, -4}.

Front

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

Back

The range is {1, -3, -4}.

Front

What does it mean for a table of values to represent a function?

Back

A table represents a function if each input value corresponds to exactly one output value.

Front

What is an example of a set of values that represents a function?

Back

An example is the set {(6,-5), (7,-3), (8,-1), (9,1)}.

Front

What is the significance of ordered pairs in determining functions?

Back

Ordered pairs help visualize the relationship between inputs and outputs, allowing us to check if each input has a unique output.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.