Functions, Functions, Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-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

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Can a function have repeated y-values?

Back

Yes, a function can have repeated y-values as long as each x-value is unique.

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 relation that is not a function?

Back

An example of a relation that is not a function is the set of points {(1, 2), (1, 3)}, where the x-value 1 is associated with two different y-values.

Front

How can you tell if a table represents a function?

Back

A table represents a function if each x-value is unique and does not repeat.

Front

What does it mean if a graph is a function?

Back

If a graph is a function, it means that for every x-value, there is exactly one corresponding y-value.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.

Front

What is the significance of unique x-values in a function?

Back

Unique x-values ensure that each input has only one output, which is a defining characteristic of functions.