Is it a Function or not?

Front

What is a function in mathematics?

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

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a curve is a function by checking if any vertical line intersects the curve more than once.

Front

What is a mapping in the context of functions?

Back

A mapping is a relation that assigns each element from one set (domain) to exactly one element in another set (codomain).

Front

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

Back

A set of values is a function if each input (first element of the ordered pair) is associated with exactly one output (second element of the ordered pair).

Front

Can a function have two outputs for the same input?

Back

No, a function cannot have two outputs for the same input; this would violate the definition of a function.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has a unique output x^2.

Front

What is 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 input 1 is associated with two different outputs.

Front

What does it mean for a graph to not be a function?

Back

A graph is not a function if there exists at least one vertical line that intersects the graph at more than one point.