gen math functions

Gottfried Wilhelm

Leibniz

The term “function” was first

introduced by ___ to denote any quantity

related to a curve, such as

coordinate of a slope of the curve.

Johann Bernoulli

regarded

functions as expressions made up

of variables and constants.

Leonhard Euler

further

formalized the idea of functions.

He introduced the notation for a

function, y = f(x), and established

Euler’s Formula.

Lejeune Dirichlet

is the first to

associate the concept of

correspondence with the

definition of a function.

relationship

or expression

involving one or more variables that

connects one quantity to another.

Relation

is any set of one or more ordered pairs or

a correspondence between two sets of different

information. This involves pairing and how the elements

in a pair are associated.

function

is denoted as y = f(x)

which is read “y is a function of x”

ordered pairs

A function is a set of __ of inputs and outputs, with the

condition that each input is related

to exactly one output.

domain

values of variable x, the independent variable

Range

values of variable y,

the dependent variable

vertical line test

A way to determine if a

relation is a function is to draw

a vertical line intersecting its

graph. If the line intersects

only once, then the relation is a

function.

Linear Function

a and b are real numbers, defined on all real numbers

whose graph is a non-vertical line.

Absolute Value Function

Also known as the modulus function. The absolute value

of x is defined as the magnitude of a real number

without regard to its sign.

quadratic function

Absolute Value Function

Square Root Function

This contains an independent variable x in positive

fractional exponents (radicand).

Cube Root Function

Defined on all real numbers that sends any real

number to its cube involving non-negative integer

powers of x.

piecewise function

two or more functions such that each

equation depends on the given interval of

the specified x-values or input values