Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from its domain.

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 definition of a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of elements (x, y) where 'x' is the input and 'y' is the output of a function.

Front

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

Back

A set of ordered pairs is a function if each input (first element) is paired with exactly one output (second element).

Front

What is the significance of the year 2007 in technology?

Back

The year 2007 marks the release of the first model of the iPhone, which revolutionized mobile technology.

Front

What is the domain of a function?

Back

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

Front

What is the range of 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 vertical line test?

Back

The vertical line test is a method used to determine if a graph is a function by checking if any vertical line intersects the graph more than once.

Front

Can a function have multiple outputs for a single input?

Back

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