Relations, Functions, Domain and Range

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 are all of the x values or inputs called?

Back

Domain

Front

What are all of the y values or outputs called?

Back

Range

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

How can you determine if a graph represents a function?

Back

A graph represents a function if every x-value has exactly one corresponding y-value. This can be checked using the vertical line test.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs (x, y) that shows a relationship between the x-values and y-values.

Front

What is a function?

Back

A function is a special type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

What does it mean if a graph is 'not a function'?

Back

If a graph is 'not a function', it means that at least one x-value is associated with more than one y-value.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

If the domain of a function is -3 < x ≤ 3, what does this mean?

Back

This means that x can take any value greater than -3 and up to and including 3.