Functions

Front

What is a function?

Back

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

Front

How can you tell if a mapping diagram represents a function?

Back

A mapping diagram represents a function if each x value is connected to only one 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 more than once, it is not a function.

Front

What is an example of a function?

Back

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

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 {(1, 2), (1, 3)}, where the x value 1 is paired with two different y values.

Front

What does it mean if a function has a repeated x value?

Back

If a function has a repeated x value with different y values, it is not a function.

Front

What is the definition of a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in 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 the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one output, while a relation can have multiple outputs for a single input.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of x and y values, and can be used to determine if a relation is a function.