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

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 ordered pairs to be a function?

Back

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

Front

Identify if the following set is a function: {(1, 2), (2, 3), (1, 4)}

Back

Not a function, because the first element '1' is associated with two different outputs (2 and 4).

Front

Identify if the following set is a function: {(3, 5), (4, 6), (5, 7)}

Back

Function, because each first element is unique.

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

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

Back

Not a function, because the first element '2' is associated with two different outputs (3 and 5).

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

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

Back

f(2) = 2(2) + 3 = 7.