Independent Dependent Variable Relations Functions

If f(x) = 2x + 1, find f(1).

• f(1) = 1

• f(1) = 4

• f(1) = 0

• f(1) = 3

A relationship in which for each input value there is one and only one output value. For example, the relationship f(x) = x + 4 is a ________; for each input value (x) there is exactly one output value.

• domain

• input

• function

• range

A table that represents pairs of related values. The input value x appears in the first row or column, and the output value y appears in the second.

• range

• x -> y table

• function notation

• absolute value

When one quantity changes in a way that does not depend on the value of another quantity, the value that changes independently is represented with the _________________. The ____________________ appears as the input value in an x → y table, and is usually placed relative to the horizontal axis of a graph. When working with functions or relations, the ____________________ represents the input value.

• independent variable

• dependent variable

• absolute value

• function

A replacement value for a variable in a function or relation. The first number in an ordered pair. The set of all possible _____ values is the domain of a function.

• input

• output

• range

• absolute value

• function notation

• independent variable

• range

• output

The set of all input values for a relation or function. For example, the ______ of the relation graphed below is x ≥ −3. For variables, the ______ is the set of numbers the variable may represent.

• absolute value

• range

• function

• domain

The set of all output values for a function or relation. For example, the _____ of the function graphed at right is y > –2.

• input

• function notation

• range

• domain

When a rule expressing a function is written using _________________, the function is given a name, most commonly “f”, “g”, or “h”. The notation f(x) represents the output of a function, named f, when x is the input. It is pronounced “f of x”. For example, g(2), pronounced “g of 2”, represents the output of the function g when x = 2.

• absolute value

• independent variable

• dependent variable

• function notation

When one quantity’s value depends on one or more others, it is called the _________________. The _________________ appears as the output value in an x → y table, and is usually placed relative to the vertical axis of a graph. When working with functions or relations, the ____________________ represents the output value.

• function notation

• absolute value

• dependent variable

• independent variable