Functions

Front

What is a function?

Back

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

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 set of ordered pairs to be a function?

Back

A set of ordered pairs is a function if no two different pairs have the same first element (x-value).

Front

What is an example of a function?

Back

An example of a function is the set of ordered pairs {(1, 2), (2, 3), (3, 4)}.

Front

What is an example of not a function?

Back

An example of not a function is the set of ordered pairs {(1, 2), (1, 3)} because the x-value 1 is paired with two different y-values.

Front

What does 'y is a function of x' mean?

Back

It means that for each value of x, there is exactly one corresponding value of y.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.

Front

What is a domain in a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is a range in a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.