Function & 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 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 do you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-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

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

Back

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

Front

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

Back

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

Front

What happens if you add (3, 5) to the set {(3, 5), (4, 9), (2, 5)}?

Back

Adding (3, 7) or (4, 1) would not create a function, but (1, 9) would.

Front

What is an ordered pair?

Back

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

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is produced by exactly one input.