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26 Cards in this Set
- Front
- Back
- 3rd side (hint)
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WHAT ARE THE FIRST FIVE KEY WORDS IN COMPETANCY FUCTIONS
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QUADARATIC
EXPONTENTIAL-GROWTH AND DECAY RATION-INVERSE |
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WHAT ARE THE FIRST FIVE KEY WORDS IN COMPETANCY FUCTIONS-TTHE LAST 3 WORDS
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ABSOLUTE VALUE
ROOTS, SOLUTIONS, ZEROS TRANSFORMATIONS |
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FIRST DESCRIPTOR HIGHLIGHTS
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1 KNOW THE GENERAL SHAPE OF THE NON-LINERA FUCTIONS AND THE GRAPH CHARACTERISTICS
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2ND DISCRIPTOR HIGHLIGHT
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KNOW HOW TO USE THE GRAPHS AND THE CHARACTERISTICS WIHT THE EQUATIONS
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3RD DISCRIPTOR
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USE THE RELATIONSHIPS BETWEEN AND AMONG THE FUNCTIONS
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THE FOLLOWING FUNCTIONS HAVE ONLY ONE TURN-2 EXAMPLES
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PARENT=X^2, Y=X^2-2X-8
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TO SOLVE A QUADRATIC BY FACTORING: THESE SOULUTIONS CALLED ROOTS, ZEROS, OR X-INTERCEPTS-DEFINE X^2-2X-8=0
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(X+2) (X-4)=0
X+2=0 OR X-4=0 X=-2 OR X=4 USED FOR: AREA-HEIGHTS OF OBJECTS INVOLVING GRAVITY |
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EXPLAIN EXPONETIAL NON-LINEAR FUNCTIONS AS Y=2^x
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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 |
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what non -liner functions are these Parent
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y= [ x } absolute review on page 63 -2, positive 2, negative x-1, y =+1
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rational functions and inverse variation functions have the variable in the denominator
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y=1/x, y=2x-5/x-3-study graphs on pg 64 15
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what functions have the variable in the denominator
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rational funcctions-proportions are releated because they can have___________in the denominator
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variable
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v
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When our Aymptotes: Touch-me-Nots: no matter how clese the function gets to the asymptote, the function never touches it.
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Finding the vertical asymptote algebriacally: find the values of x that will work with the deonominator=0
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Rationals, proportionas and Asymptotes, are used for what kind of work
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WORK PROBLEMS,
ELECTRICITY PROBLEMS HEAT LOSS |
W
EH |
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TRANSFORMATIONS ON FUNCTIONS NAME THE THREE TYPES
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TRANSLATION
DILATION REFLECTION |
T D L
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DEFINE THE TRANSFORMAION; TRANLATION FUNCTION;-EXAMPLE PAGE 64
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MOVES THE FUNCTIN UPWARD OR DOWNWARD
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TRANSLATION EXAMPLE PAGE 64
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DEFINE THE TRASFORMATION DILATIONS
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STRETCHES IT VERTICALLY, GETS SKINNEY AND NARROW
DILATION HORIZONTALLY-STRECHES IT WIDER |
WHAT GETS SKINNIER AND NARROW
THIS IS WHAT HAPPEN WHEN DILATION GETS WIDER EXAAMPLE BOTTEM OF PAGE 64 |
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WHAT HAPPENS WHEN YOU HAVE A REFLECTION DIALATION?
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REFLECTS IN ON THE Y AXIS
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EXAPMPLE TOP RIGHT PAGE 64
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SAMPLE EXERCISE 1 BOTTEM OF PG 64-OBSERVE GRAPH SELECT TEH CORECT EQUAITON FORETHE PARABOLA
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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
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DEFINED ON SD ALG 2 DISC
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WHY WOULD -2X^2 +12X-9 NOT BE THE ANSWER FOR THE PARABOLA?
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A) HAS A NEGATIVE TWO IN FRONT OF IT CAUSING TO POINT DOWNWARD. IT DOESN;T WORK WITH ANWERS WITH POSIVE Y INTERCEPTS
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15-EXERCISE 2 REVIEW AND UNDERSTAND CONCEPTS
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DO YOU GET THE POINT-DO IT ON YOUR OWN
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DEFINATIONS OF A QUADRATIC EQUATION
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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
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WHAT IS THE STANDARD QUAD EQUATION?
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DEFINATIONS OF A QUADRATIC EQUATION-PROPERTY
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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
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IN THIS STEP IS WHEN A=0 OR B=0
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STEPS IN QUADRATIC EQUATIONS-
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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
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The third step using the quadratic formula
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x=-b(+,-) radical sign (b^2-4ac)/2a
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only used when factoring is not possible
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second step on using quadratic formula
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a,b, and come from the sec. degree equation has been set equal to 0, a is the coefficient (number in front of the secon-degree term, b, is the coefficeint(number in fornt of the first degree term ( if no first-degree term is presen then b is zero), and c is the constant term (no variables showing) note:ax^2+bx+c=0
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Second quaud equ step
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Next three steps on using quadratic equation-
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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
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