A.12A, A.12B: Identifying and Evaluating 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 identify if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

What does f(-2) represent in a function?

Back

f(-2) represents the output of the function when the input is -2.

Front

If f(x) = 2x + 3, what is f(0)?

Back

f(0) = 2(0) + 3 = 3.

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 definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets.

Front

Which of the following is a function: {(1,2), (2,3), (3,4), (1,5)}?

Back

This is not a function because the input '1' is associated with two different outputs (2 and 5).

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 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.