General forms of a sequence

General form of a sequence:

Arithmetic:

An=A1+(n-1)d

Geometric:

An=A1*R^(n-1)

These equations help translate a table, into a equation, all you have to do is calculate how much the numbers are increasing or decreasing on the y-intercept for the table. If the y-intercept is increasing by a multiplied amount then that table has a geometric equation. If the y-intercept has a continuous strand of numbers increasing by the same increment, then that table has a arithmetic equation.

Characteristics and Traits of a graph

Domain- Variables going from left to right.
Range- Variables going from bottom to top
End Behavior- The end directions of the equation created by the x and y-variables.
Absolute Max/Min- Equation of a line that opens up or down on a single point of origin.
Local Max/Min- Equation of a line that opens up or down in a range of points from the single origin.
Interval of increase- Intercept points of rising x and y-variables.
Interval of decrease- Intercept points of falling x and y-variables.
x-intercept- Intercept point of the x-value.
Y-intercept- Intercept point of the y-value.
Symmetry- Equations of a line that are either symmetrical to the Origin or y-axis, or that arent symmetrical at all.
Even/Odd/Niether- Even- Symet. to the y-axis Odd- Symet. to the Origin Neither- No symet.
Asymptotes- Invisible boundry line that sets how far a line can be from a specific poin on a graph
Function- Equation of a line that passes the Vert. Line Test.
One to One- Equation of a line that passes both the Vert. and the Horiz. Line Tests.