Relations, Functions, Domain and Range

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the vertical line test?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does it mean if a function has a repeating x-value?

Back

If a function has a repeating x-value, it means that the function is not valid, as each x-value must correspond to only one y-value.

Front

Give 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

Give 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 x-value 1 has two different y-values.

Front

What is the difference between domain and range?

Back

Domain refers to the set of input values (x-values), while range refers to the set of output values (y-values).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph.