Domain and range
All values of x, All values of y
End Behaviors of even odd negative(show me the hand signals in irl)
so even positve would have both up, even negative would have both down, Even odd would have left down and right up while neagtive odd would have been the opposite
x0
1
Where does cos starts vs where does sin start
cos starts at max while sin starts at the midline.
A n B
intersection
What does [] means in interval notation
Simplyfing radical expression
factor all expression,divide any common factors between monomials, divideall binomial facrotrs that are the same
Simplyfy cube radical 8
2
How would you solve a regression model
enter all data into L1 L2 look for correct regrssion
union
What does () in interval noation
Not including the notation
Add and subtracting rational expression
Factor all denomaitors, find a common multiple of all factors, list all binomial once
define asymtotes
some thinbg the log appraches but never touches
Radian to degree and degres to radian,
pi/180 , 180/pi
How much is 68% on a graph but 95% on a graph
68 is one standard decision, while 95 is 2
What are possibilites of restricted domain
fraction, radical and logartihimic
Every step of syntehtic divison(you can show me or ask for a regents question
Sove for x, use anser as multiplier, list all coeeficents of te divdent, bring down the first coeeficent, multiply by the multiplier, add the anser to the next coeeficent, repeat
contiously means
to use e (watch out for that)
angles that share the same terminal ray
coternminal angles
what makes a set mutually exclusive
if they do not over lapp at all
Difference between one to one function and one to many fany
One to one y valyes to do not repeat and passes horizontal line test one to many values y values repat and does not pass horizontal line test
Every step of long divison (you can ask for a piece of paper or you can even show your self doing it on a regetns question as credit)
Replace missing terms with 0, divide the first time of the divednent with the dicisor then place the top of it at the top, multiply answer by the dicisor, subtract opposite from divedend, repeat the process by divind first terms
Find values for each x (srry if it takes a while but its worht 1 thousand) (xm)(xn) , xm/xn,(xy)n ,x-m, (xn)m (x/y)n
xm+n, xm-n, (xn)(yn),1/xm, x(n)(m), xn/yn
x is cos and adj, y is sin and opp
Indepndent vs dependent events
events does not change the probability of one for independent and dependent is the opposite
switch x and y
Multiplying rational expression(fraction)
Factor all polynomials for all fractions, simplify by dividing common factors in any numeratior with one in any denomiator
Solve for x in radical
ex-75x3
Find greates perfect factor, all variables must be divisble by the index, take sqaure root of perfect roots, leave the non perfect roots together
What is the saying to see which trignometric fuction ar epostive/negative
ASTC
Conditional probability
probaility of another event given one already happening
I1 ,I2, I3, I4 values(calc=no points)
I,-1,-I,1
Show a muliplict of 1,2 and 3 on a graph

3Solve for x with exponietial
ex- x9/2 multiplied h13/4
Define compliment of an event
probability that an event does not apppen
Settlement in vs geometirc
arithmetics terms are found by adding same # geometetc-terms are found By multilying each number
How to solve equaltion with equal number of variables, Graphicvally vs algebracially,
Graphically-Check where they intersect, Algebriaclly- preffered subsitution
divviding rational expression
solive radical equations
ex- radical x+1=x-5
Isolate radical, sqaure both sides, solve for equation, CHECK for extranous, 3 is solution btw
Each part of sigma notation

Move consionats to all equation, add (b/2)2 then factor and square root
Even vs odd function
even-Algebraically f(-x)=f(x) Graphically graph have symmerty with y, Odd algebraically f(-x)=-f(x) Graphically have symmerty with orgin and look same upsidedown
Rational equaltions
Factor alll denomiators,find undefined values, find common denomiator, convert all denomiators to caommon denomatior, set up n equation with the new numeratiors, solve equaltiona nd check for extraneous routes
Ac or ~A
complete of a P(~A)=1-P(A)
Postive and negative angles for angle of raotaiton
postive, rotate counter clockwise, negative, rotate clockwise
-af(-bx+h) +k
what does each variable do in this equation f(x)
-a means stretch/shrink vertically and refelct over x, -b mens to stretch or shrink horizontally and reflect over y, h moves it up or down and k moves it left to right
Average rate of change
y2-y1/x2-x1
If a fraction has the same degree in the numertator , we can decompose the fraction instead of long division
explict vs recursie sequence
explicit-an=a1+d(n-1)
recursive=a1=?
an=an-1+d
reference angle
angle measrue from terminal said clsoset to the close x-axis
6 types of facotring and which type for each scenario
GCF-each term must have a common factor, Diff of perfect squares-in the name, Trinomial-factors that add up to b and multiply to c, borrow and payback- multiply a by c gettring rid of it then factor like trinomial, grouping, divide each area by 2 terms then find gcf, cubic bionomial-refer to cheat sheet
Discrinmiant is the area in quadtaric formula b2 -4ac and square root factoring is when you get x2 =18 and REMEBER TO GET POSIVE and negative
Remainder vs factor theorm
Remainder-If given a polynomial f(x) divided by a linear binomial x-a then f(a) is equal to the remainder
factor if f(a)=0 the remainder is 0 meaninf that x-a is a factor of f(x) and a is a zero
Survey vs Obsv study Vs controlled exp
Gathe large quantities of facts, not interaction with subject just examines results, two groups study with experiment on one and not on the other
sin,cos,tan at 30 45 and 60

define amp,frequency,period,horzintolk shif and midline using aSin(b(x-h)+c
a=amp and is half distance from max/min, freq is b/2pi and # curves seen at 2pi, period is 2pi/b and interval for one curve, h is horzontal shif left and right, midline is c and repsents up and down of graph and equaltion for midline is y=c