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23 Cards in this Set

  • Front
  • Back
linear equation in two variables
y=mx+b, aka the simplest mathematical model for relating two variables
slope-intercept form
y=mx+b
ratio
if the x and y axis have same unit of measurement, then slope has no units
rate
if x axis and y axis have different units of measure
point-slope form
y-y1=m(x-x1)
two-point form
y-y1=y2-y2/x2-x1(x-x1)
general form
Ax+By+C=0
linear interpolation
when the estimated point lies in between 2 points
linear extrapolation
when the estimated point lies outside 2 points
parallel
slopes are equal; m1=m2
perpendicular
m1=-1/m2
relation
two quantities that are related to eachouther by some rule of correspondance.
function
is a 1 to 1 relation; every x is only to 1 y
domain
set of all inputs for which a function is defined

INDEPENDENT VARIALBLE
range
set of all outputs assumed by the dependent variable ( set of all functional values)
first chracteristic of a function
every domain is matched to a range
2nd characteristic
not every range must have a domain
3rd characteristic
a range can have more than 1 matched domain
4th characteristic
A domain can only be matched to 1 range
four ways to represent a function
VANG
V:verbally
A:algebraically
N:numerically
G:graphically
implied domain
domain is not specified, all real #s are assumed

ex. f(x)= 1/x-4

all real numbers but x≠4
independent variable
x
dependent variable
y