Relations and 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 y to be a function of x?

Back

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

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Front

Which of the following is a function? {(1, 2), (2, 3), (1, 4)}

Back

No, it is not a function because the input 1 corresponds to two different outputs (2 and 4).

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can represent a function or not.

Front

How can you tell if a set of ordered pairs represents a function?

Back

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

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function may have multiple outputs for a single input.