Functions vs. Non functions Review

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 does it mean for a graph to be nonlinear?

Back

A nonlinear graph does not form a straight line and can represent relationships that are not proportional.

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

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

Front

How can you tell if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (x-value).

Front

What is an example of a function?

Back

An example of a function is the set of ordered pairs {(1,2), (2,3), (3,4)}.

Front

What is an example of a non-function?

Back

An example of a non-function is the set of ordered pairs {(1,2), (1,3), (2,4)} because the input '1' has two different outputs.

Front

What does it mean for a table of values to be linear?

Back

A table of values is linear if the change in y is constant for a constant change in x.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions create straight-line graphs, while nonlinear functions create curves or other shapes.