Functions

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 does it mean for a mapping to be a function?

Back

A mapping is a function if every input (or domain value) is associated with exactly one output (or range value).

Front

Identify a function from the following options: W, X, Y, Z.

Back

Z is a function.

Front

What does it mean if a graph does not show y as a function of x?

Back

It means that for at least one x-value, there are multiple corresponding y-values.

Front

What is an example of a non-function?

Back

A relation where an input has more than one output, such as the relation {(1, 2), (1, 3)}.

Front

What is a one-to-one function?

Back

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

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

How can you tell if a table represents a function?

Back

A table represents a function if each input value corresponds to exactly one output value.