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5.2 One to one and inverse functions
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c.f(x) = w/E+ 2: 906) = (x- 2)2 x 2 2 d.f(x) = 2:153; g(x)=_3:x+51
igtmzmn lg
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7.1 Inverse Sine Cosine and Tan ent
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Find the exact value of each expression.
1. sin'1(0)= CE 2. cos1(1): O
3. sin".1 (sin
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4.6 Com lex Zeros and Fundamental Theorem of Al ebra.
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is i ll l
1. Form a polynomial f(x) in factored form having the given
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9.4 Vectors
1. Use the vectors in the figure to graph each of the following vectors.
b. 0.5w
a. V+W
C. UV
d.3v+u-2w
I
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7.3 Trigonometric Eguations
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Solve each equation on the interval 0 S 0 < 211.
1- 25in(6)+3=2 ~3 ' 2. 4cosz(9)= Q
*3 . O H 71
- - ~ W
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6.6 Trig Graghs and Phase shift
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a O '1' 1/,
Graph the following Trigonbmetric equations. Label at least three x-intercepts. f '\
l. y = 4sin(2x
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9.7 The Cross Product
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1. Find the value of each determinant
a_|32 4 5m- 1% b.|_62 _51| 3 (960 C
: (3 "L1 - at, +10
. l
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9.6 Vectors in Space
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1. Find the distance between P1 and P2
a. P1 = (0,0,0) and P2 = (4,1,2) b. P1 = (1,2,3,) and P2 = (0,2,1)
=
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10.6 Polar Eguations of Comes
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1. Identify the conic that each equation represents.
a-T=1r.- CowWQ 30" b.r=,; 6W c:l
1+cos (9) _
Math Analysis Honors Worksheet 44
Using Matrices to Solve Linear Systems
Solve the system of equations by finding the reduced row echelon form for the augmented matrix using a graphing
calculator.
2x 3y = 13
1
2
3
4
4x + y = 5
x + 2y z = 3
3x + 7y 3z = 12
' Lt, ( Graphim Polynomial Functions
The focus of this lessan is to sketch the graph of polynomial functions. Before we begin however, we should
look at the generic graphs of a few polynomial functions. The graphs shown below all assume that a is positive
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4.2 Pro erties. of Rational Functions
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C 5 C
1. Find the horizontal asymptote(s), vertical asymptote(s), x/y intercepts, holes
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2.2 Graphs of Functions.
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1. Let f(x) be given by the graph below. Find the following values: 3. Let x) 2 3x2 + 5x. Answer th
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2.1 Functions
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1. Is this relation 3 functEOn? Why or why not?
a' cfw_(fzrglr (114): (2:7): (213); (914) b'cfw_(415)1 (1:4)!
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2.5 Transformations of Functions
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1. Suppose the points of the graph of f(x) are (-8,0) and (1,0).
Find the new points given
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2.4 Library of functions.
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1. Match the names and equations with their graphs.
Names: absolute value cubic linear quadratic r
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6.1 Angles and Their Measure
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135 degrees -120 degrees 4? 32
2. Convert eachangle into a decimal in degrees.
a. 61 4221 b.
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3.4 Quadratic models from verbal descriptions.
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1. The price p (in dollar) and the quantityx sold of a certain product obey the
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9.1 Polar Coordinates
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1. Plot each point given in polar coordinates. Write the letter of the point on
the g
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1.4 Circles
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1. Write the equation of a circle with a radius of 5 units and a center at (3,5)
-Q<+3)2 + (jesfl; 61 6'
2. Give
Kuta Software - Infinite Algebra 2
Name_
Graphing and Properties of Parabolas
Date_ Period_
Identify the vertex, axis of symmetry, and direction of opening of each.
1) y = 2( x + 10) 2 + 1
2) y =
1
( x 7) 2 + 1
3
16
46
1
3) y = x 2 +
x
3
3
3
4) y = 2x 2
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if, yum: 0% coax: S
What isyour cdnfidence levelabout the material? Please circle one, or maybe something in between.
1) Find AB I 2) Find BC
C
7
21
B 30 A
>42 = 30" +2\? MIN 5803307?)
74 '3? Li S
3) Find BC 4) Find BC
A $2;
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70 '1 WW Emerge JW
What is your confidence level aboutthe terial? Please circle one, or maybe something in between.
Find the exact value of each expression.
1. (sin-1%)?W3e 2- tan<sm-1<:>=W
3. sec (cos'1 (a) = Sag) : 97 4
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5.7 Financial Models
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\ \- .
1. $50 is invested at 6% compounded monthly for a period of 3 years. How much will there
be at the e
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7.5 Sum and Difference formulas
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K sin(105) = "
(1330263 (036% Q) - ecu/(I 20) sitim sg':0j : 8M (@Qff go)
: f-,\i\f\_&l:\ m
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2.3 Progerties of Functions.
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' 1. Let f(x) be given by thegraph below.
a. On which interval(s) is b. On which intervalis)
Kuta Software - Infinite Precalculus
Name_
Sequences and Series
Date_ Period_
Find the next three terms in each sequence.
1) , , , , , .
2) , , , , , .
Find the first four terms in each sequence.
3) an
n
5) anan
4) an
n
6) anan
a
a
Find the tenth term in
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14" TV Wm itkwrhcs
one
What' IS your c f dence level about the material? Please circle one, or maybe something m between.
Verify the identity. Start with one side and arrive at the other side.
1. sec(0) sin(0_) = tan (0)
J-
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9.5 Dot Product
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1. Find the dot product 13 - W.
a.13=ij,W'=i+j b.1'7=2ij,v_v=i2j
3' 3 " UXWJ'tm) (3.3 : 20)+(-I)z)
: C) :
c =3l