Lesson 1 - Review

In lesson 1, we went over review from Math 11.


We went over functions you should know, here they are:

 LINEAR:
 y= mx + b    m being the slope       b being the y-int
ex: y= -1/2x + 2     -1/2 = m        +2 = b


QUADRATICS:
quadratics have 2 x's which makes a parabola shape, kinda like a  U, also will have only two x terms (zeros) on the graph.

as an example a quadratic formula would look like y= ( x + 2)^2 -1


CUBICS:

cubics  have three x's which make up a shape kind of like a N, and also means that the graph will only have 3 zero terms. This would make the graph "odd" meaning it will either start positive and end negative or the opposite.  ex: y= (x +2)(x-3)(x-4) or y= (x +1)^2(x-2)


QUARTICS:
 quartics have four x's, they are "even: meaning the graph will start at the top and end at the top, or start at the bottom end at the bottom, making either a M or W shape.
ex: y= (x+1)^2 (x-2)(x-3)

RECIPROCAL:
reciprocals have a vertical asymptote, which is where the graph will get closer and closer but never touch.
ex. y= 1/ (x-2)