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26 Cards in this Set
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 3rd side (hint)
WHAT ARE THE FIRST FIVE KEY WORDS IN COMPETANCY FUCTIONS

QUADARATIC
EXPONTENTIALGROWTH AND DECAY RATIONINVERSE 


WHAT ARE THE FIRST FIVE KEY WORDS IN COMPETANCY FUCTIONSTTHE LAST 3 WORDS

ABSOLUTE VALUE
ROOTS, SOLUTIONS, ZEROS TRANSFORMATIONS 


FIRST DESCRIPTOR HIGHLIGHTS

1 KNOW THE GENERAL SHAPE OF THE NONLINERA FUCTIONS AND THE GRAPH CHARACTERISTICS



2ND DISCRIPTOR HIGHLIGHT

KNOW HOW TO USE THE GRAPHS AND THE CHARACTERISTICS WIHT THE EQUATIONS



3RD DISCRIPTOR

USE THE RELATIONSHIPS BETWEEN AND AMONG THE FUNCTIONS



THE FOLLOWING FUNCTIONS HAVE ONLY ONE TURN2 EXAMPLES

PARENT=X^2, Y=X^22X8



TO SOLVE A QUADRATIC BY FACTORING: THESE SOULUTIONS CALLED ROOTS, ZEROS, OR XINTERCEPTSDEFINE X^22X8=0

(X+2) (X4)=0
X+2=0 OR X4=0 X=2 OR X=4 USED FOR: AREAHEIGHTS OF OBJECTS INVOLVING GRAVITY 


EXPLAIN EXPONETIAL NONLINEAR FUNCTIONS AS Y=2^x

used for growt as in population, bacteria
decay as in radioactive isotopes and carbon dating, and compound intrest 
pop.growth, bacteria,
decay as in radioactive isotopes, carbon dating, compound intrest 

what non liner functions are these Parent

y= [ x } absolute review on page 63 2, positive 2, negative x1, y =+1



rational functions and inverse variation functions have the variable in the denominator

y=1/x, y=2x5/x3study graphs on pg 64 15

what functions have the variable in the denominator


rational funcctionsproportions are releated because they can have___________in the denominator

variable

v


When our Aymptotes: TouchmeNots: no matter how clese the function gets to the asymptote, the function never touches it.

Finding the vertical asymptote algebriacally: find the values of x that will work with the deonominator=0



Rationals, proportionas and Asymptotes, are used for what kind of work

WORK PROBLEMS,
ELECTRICITY PROBLEMS HEAT LOSS 
W
EH 

TRANSFORMATIONS ON FUNCTIONS NAME THE THREE TYPES

TRANSLATION
DILATION REFLECTION 
T D L


DEFINE THE TRANSFORMAION; TRANLATION FUNCTION;EXAMPLE PAGE 64

MOVES THE FUNCTIN UPWARD OR DOWNWARD

TRANSLATION EXAMPLE PAGE 64


DEFINE THE TRASFORMATION DILATIONS

STRETCHES IT VERTICALLY, GETS SKINNEY AND NARROW
DILATION HORIZONTALLYSTRECHES IT WIDER 
WHAT GETS SKINNIER AND NARROW
THIS IS WHAT HAPPEN WHEN DILATION GETS WIDER EXAAMPLE BOTTEM OF PAGE 64 

WHAT HAPPENS WHEN YOU HAVE A REFLECTION DIALATION?

REFLECTS IN ON THE Y AXIS

EXAPMPLE TOP RIGHT PAGE 64


SAMPLE EXERCISE 1 BOTTEM OF PG 64OBSERVE GRAPH SELECT TEH CORECT EQUAITON FORETHE PARABOLA

D) Y=2X^2 4X 3. SOLUTIONS: THIS IS NOT ABOUT WRITING AN EQUATION. iT IS ABOUT RECOGNIZING IF X=0, THE INTERCEPT WILL BE CONSTANT

DEFINED ON SD ALG 2 DISC


WHY WOULD 2X^2 +12X9 NOT BE THE ANSWER FOR THE PARABOLA?

A) HAS A NEGATIVE TWO IN FRONT OF IT CAUSING TO POINT DOWNWARD. IT DOESN;T WORK WITH ANWERS WITH POSIVE Y INTERCEPTS



15EXERCISE 2 REVIEW AND UNDERSTAND CONCEPTS

DO YOU GET THE POINTDO IT ON YOUR OWN



DEFINATIONS OF A QUADRATIC EQUATION

THEY ARE SECOND DEGREE EQUATIONS IN ONE VARIABLE IN THE FORM OF AX^2+BX+C=0, WHERE A, B, C ARE REAL NUMBERS AND A DOES NOT = 0

WHAT IS THE STANDARD QUAD EQUATION?


DEFINATIONS OF A QUADRATIC EQUATIONPROPERTY

IF A AND THere REAL NUMBERS AN (A) THEN EITHER A=0 OR B=0 OR BOTH EQUAL 0. AT LEAST ONE THE NUMBERS HAS TO =O

IN THIS STEP IS WHEN A=0 OR B=0


STEPS IN QUADRATIC EQUATIONS

1) set the EQUAL TO ZERO, combine like terms, write in descending order
2) FACTOR: if factoring is not possible, then go to step 3) SOLVE each resulting equation and check the substiutionss) 3 solve each resulting equaion and check 
first three steps of quaradic equaions


The third step using the quadratic formula

x=b(+,) radical sign (b^24ac)/2a

only used when factoring is not possible


second step on using quadratic formula

a,b, and come from the sec. degree equation has been set equal to 0, a is the coefficient (number in front of the secondegree term, b, is the coefficeint(number in fornt of the first degree term ( if no firstdegree term is presen then b is zero), and c is the constant term (no variables showing) note:ax^2+bx+c=0

Second quaud equ step


Next three steps on using quadratic equation

subtstitute the numerical values for (a, b, and c) into the quadratic formula
D) simplify completly e) Write the two, answers, onw with a + in front of the radical expression and one with a () in fornt of the radical expression in the formula. complete any additional simplification to get the ansers in the required form 
last three steps in solving with quadratic formulas
