Identifying Functions (Modified)

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph is not a function.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if no two different ordered pairs have the same first element (input).

Front

Give 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 ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where 'x' is the first element and 'y' is the second element.

Front

What is the difference between a function and a non-function?

Back

A function has exactly one output for each input, while a non-function may have multiple outputs for a single input.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

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

Front

What is a graph of a function?

Back

The graph of a function is a visual representation of the ordered pairs of the function plotted on a coordinate plane.