Function or Not

Front

What is a function in mathematical terms?

Back

A function is a relation where every input has exactly one output.

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

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.

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 y^2 = x, where each x can correspond to two different y values.

Front

What does it mean for a mapping to be a function?

Back

For a mapping to be a function, each element in the domain must be paired with exactly one element in the codomain.

Front

What is the definition of 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 definition of 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

How can you determine if a graph is a function?

Back

You can determine if a graph is a function by using the vertical line test.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs produce the same output.