Function or not

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 a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a mapping in mathematics?

Back

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

Front

Is the graph of a straight line a function?

Back

Yes, unless it is a vertical line, which does not pass the Vertical Line Test.

Front

What does it mean if a graph is not a function?

Back

It means that at least one input is related to more than one output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is the definition of a relation in mathematics?

Back

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

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.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1, 2), (1, 3)}, where the input 1 is related to two different outputs.

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 has at least one input with multiple outputs.