Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

What does it mean for a set of points to represent a function?

Back

A set of points represents a function if no two points have the same x-coordinate but different y-coordinates.

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 is a mapping?

Back

A mapping is a way to describe how each element in one set (domain) is paired with an element in another set (range).

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 the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Is the set {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, this set is a function because each x-value is unique.

Front

Is the set {(1, 2), (1, 3), (2, 4)} a function?

Back

No, this set is not a function because the x-value 1 is paired with two different y-values (2 and 3).