Algebra Final Flashcards
Formulas
relation
a set of ordered pairs
ex.: (-9,4)
domain
set of all first components of the ordered pairs
where is domain found
domain is found along the x axis or read from left to right on a graph
range
set of all second components of the ordered pairs
where is range found
range is found along the y axis or read from the bottom of the graph to the top
function
a relation in which each element of the domain corresponds to exactly one element of the range
examples of a function
x1 to y1
x2 to y2
x1 and x2 to y1
not a function
x1 to y1 and y2
or known as a vertical line
x-intercept
points where the graph touches the x-axis ex.: (9,0)
y-intercept
points where the graph touches the y-axis ex.:(0,9)
F(X) =
Y
slope
steepness of a line
it is independent of the two points chosen on the line
To find X-intercept
In the equation let y = 0
To find Y-intercept
in the equation let x = 0
Formula to find slope
M = Y2-Y1 / X2-X1
Horizontal line has a slope of
0
Vertical line has a slope of
NA it is undefined
Undefined slope means
2/0 which means is can only rise so there would not be a real slope
Point Slope Form
Y-Y1 = M (X-X1)
Slope Intercept Form
Y = MX + B
Slope of parallel line is
the same constant slope
Slope of perpendicular lines are
negative reciprocals of each others slope
<
less than
>
greater than
Piecewise Function
Function that you plug in an addition X in that follows the equation to find Y and another point.
This is a linear function or a double linear function
A piecewise function can
Have two points on the same x-axis. One is open and one is closed
A piecewise function can not
have two defined points on the same Y-axis whether they are open or closed or matching or opposite
