Function, Relations, Domain,and Range

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

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

Define domain in the context of functions.

Back

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

Front

Define range in the context of functions.

Back

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

Front

What is the difference between domain and range?

Back

The domain refers to the input values of a function, while the range refers to the output values.

Front

How do you find the range of a function given its domain?

Back

To find the range, substitute each value from the domain into the function and determine the resulting output values.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1,2), (1,3)}, where the input 1 has two different outputs.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input value corresponds to exactly one output value.

Front

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

Back

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