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

How can you tell if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

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

Is the following set of ordered pairs a function? {(1, 2), (1, 3), (2, 4)}

Back

No, because the input '1' corresponds to two different outputs (2 and 3).

Front

Is the following mapping diagram a function? (1 -> 2, 1 -> 3, 2 -> 4)

Back

No, because the input '1' corresponds to two different outputs (2 and 3).

Front

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

Back

A graph is a function if every x-value has only one corresponding y-value.

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 an example of a function?

Back

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

Front

What is a non-function?

Back

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

Front

Is the following graph a function? (A graph that fails the vertical line test)

Back

No, it is not a function because a vertical line intersects it at more than one point.