Function vs Nonfunction Graphs

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is a non-function?

Back

A non-function is a relation where at least one input (x-value) has more than one output (y-value).

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

In a graph, which values run up and down?

Back

In a graph, the 'y' values run up and down.

Front

In a graph, which values run left to right?

Back

In a graph, the 'x' values run left to right.

Front

What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where each x-value has a unique y-value.

Front

What is an example of a non-function?

Back

An example of a non-function is the equation y^2 = x, where a single x-value can correspond to two different y-values.

Front

What does it mean for a table to represent a function?

Back

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

Front

Can a graph be both a function and a non-function?

Back

No, a graph cannot be both a function and a non-function; it must fit one definition.

Front

What is a mapping in relation to functions?

Back

A mapping shows how each element of a set (domain) is paired with an element of another set (range).