Language of Relations and Functions Flashcards
Discovered by Rene Descartes.
THE CARTESIAN COORDINATE SYSTEM
THE CARTESIAN COORDINATE SYSTEM
Discovered by?
Rene Descartes
It is used for representing the relative positions of points in a plane or in space.
THE CARTESIAN COORDINATE SYSTEM
THE CARTESIAN COORDINATE SYSTEM
Also known as the?
X-Y plane
The horizontal line is the?
x-axis
The vertical line is the?
y-axis
the point of intersection is the?
Origin
the point of intersection is the origin with coordinate as
(0,0)
is the origin with coordinate as (0, 0).
point of intersection
The two axes divides the system into four region called the?
quadrants
Any point is the coordinate system is called the?
ordered pair (x,y)
The number x is called the?
x-coordinate or the abscissa
the number y is called the?
y-coordinate or the ordinate
An association of an object or individual with another object or individual.
Relation
consist of a x and y-coordinate
ordered pair
A relation between two variables x and y is a set of?
ordered pairs
x-values are?
inputs, domain, independent variable
y-values are?
outputs, range, dependent variable
a relation in which every input is paired with exactly one output
Function
a relation is a function it a vertical line drawn through its graph, passes through only one point.
Vertical Line Test
Verical kine test AKA?
The pencil test
from a to b, denoted by (a, b), is defined by (a, b) = {x|a <x< b}
open interval
from a to b, denoted by [a, b], is defined by [a, b] = {x/a≤x≤b}
closed interval
denoted by (a, bl, is defined by (a, b] = (x/a <x≤b}
interval half-open on the left
denoted by [a, b), is defined by
[a, b) = {x|a < x <b}
interval half-open on the right
DIFFERENT TYPES OF FUNCTION:
- Linear Function
- Quadratic Function
- Cubic Function
- Rational Function
is the simplest type of function whose graph is a line. Its highest degree is 1.
Linear Function
is any equation in a form f(x) = ax? + bx + c, where a # 0 and its graph is called a parabola. Its highest degree is 2.
Quadratic Function
Quadratic Function is any equation in a form f(x) = ax^2 + bx + c, where a # 0 and its graph is called a?
parabola
is any equation of the form f(x) = ax? +bx2+cx +d, a # 0.
Cubic Function
