GENMATH : RELATIONS AND FUNCTIONS

relations

this is a set of ordered pairs

domain

this is the set of x

abscissa

this is what you call the x axis

ordinate

this is what you call the y axis

rene descartes

he created the cartesian plane

functions

this deals with the relationship between corresponding elements of 2 sets

ordered pairs, table, graph or mapping

name all the ways to write a relation

mapping

this creates two ovals with the domain on the left, and the range on the right. elements are not repeated.

function

this may also be defined as a rule of correspondence between the non empty sets, such that, to each element of the first set called domain.

non empty set

a function may also be described as a ______ of ordered pairs

vertical line test

a test if the graph of mathematical relation is a function.

function

a ____ is a relation in which the members of the domain or x values DO NOT repeat

SOMETIMES

a relation is ______ a function

always

a function is ____ a relation

domain

this is a set of x values, independent variable, input.

range

this is a set of y values, dependent variable, output.

Discrete functions

functions that consist of points that are not connected.

Continuous functions

these are functions can be graphed with a line or smooth curve and contain an infinite number of points.

rational functions

they are used to model complex science and engineering equations, including forces, electronics, optics, aerodynamics, and coustics in ohysics.

rational equation

an equation that contains rational expression is referred to what?

rational inequality

an inequality that contains rational expressions is referred to as what?

critical values

these are values that will make the numerator and denominator equal to zero.

f(x)

a notation to designate a function