Mathematics 8 Flashcards
is introduced using the concept of sets
rectangular coordinate system
is a set of all ordered pairs
cartesian product
known as xy-plane
cartesian plane
a french mathematician who is known as father of modern mathematics
rene descartes
is composed of two perpendicular number lines that meet at the point of origin (0,0) and divide the plane into four regions called quadrants
cartesian plane
four regions in the cartesian plane
quadrants
point in coordinate system
ordered pair
the first coordinate of a point is called
x-coordinate or abscissa
second coordinate of a point
y-coordinate or ordinate
horizontal lines
x-axis
vertical lines
y-axis
it is where y and x axis meets
point of origin
x>0, or x is positive
y>0, or y is positive
or (+,+)
quadrant I
x>0, or x is negative
y>0, or y is positive
or (-,+)
quadrant II
x>0, or x is negative
y>0, or y is negative
or (-,-)
quadrant III
x>0, or x is positive
y>0, or y is negative
or (+,-)
quadrant IV
is a special type of relation; a relation in which every element in the domain is mapped to exactly one element in the range
function
a horizontal line represents a
function
variable x is considered as the
independent variable
variable y is expressed as the
dependent variable
f(x) notation can also be used to define a
function
range is known as
image
domain is also known as
pre-image
is defined by f(x) = mx+b
linear function
aside from the sets of ordered pairs and the graph, linear function f defined by f(x) = mx+b can also be represented by its equation
linear equations
Ax+By=C
standard form
y=mx+b
slope-intercept form