Identifying Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if no vertical line intersects the graph at more than one point.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function. If a vertical line crosses the graph more than once, it is not a function.

Front

What does it mean for an x-value to repeat in a relation?

Back

If an x-value repeats in a relation, it means that there are multiple outputs (y-values) for that x-value, which indicates that the relation is not a function.

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 is the domain of a function?

Back

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

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

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation y = mx + b.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not form a straight line when graphed, such as quadratic or exponential functions.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the elements of the domain and the range of a function.