Is it a Function?

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 to determine if a curve is a graph of a function. If a vertical line intersects the graph at more than one point, then 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. Each input must correspond to exactly one output.

Front

What is a domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

What is a range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output) that result from using the function.

Front

Is the relation {(1,2), (2,3), (1,4)} a function?

Back

No, this relation is not a function because the input '1' corresponds to two different outputs (2 and 4).

Front

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

Yes, this relation is a function because each input corresponds to exactly one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 2, where for every input x, there is a unique output.

Front

What is a non-function example?

Back

An example of a non-function is y^2 = x, because for some values of x, there are two corresponding values of y.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.