Functions

Front

What is the definition of a function?

Back

A function is a relation in which each input (x-value) is associated with exactly one output (y-value).

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

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

Front

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

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if each x-value has only one corresponding y-value.

Front

What does it mean if a relation is not a function?

Back

It means that at least one x-value is associated with more than one y-value.

Front

Identify the range of the function y = 4x - 12 for the domain {2, 3, 10}.

Back

R: {-4, 0, 28}.

Front

What is an example of a function?

Back

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

Front

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

Back

An example is the relation {(1,2), (1,3)}, where the x-value 1 has two different y-values.