10/5/16
without
a#
#
3
font
in
variable
of
place
in
phrase (
math
variable
a
*
a#
of
*
+3
=)
no
exI3
7+3
oef
(
letter
\
.
variable

X+3
Sections
has
eIr+3
Mutt
C
by
separated
for
terms
2
duar
#
signs
whdkttis
exp
adding )
no

r=tx#
x
4
,
,
42 ,
4x
,
3x
Name:_
Period:_
SM21.5 Graphing Absolute Value and Square Root Functions F.BF.3
1.
2.
3.
4.
Draw the following graphs (neatly and accurately).
List at least 3 points on each graph.
Describe how the parent graph changed with each transformation.
Find the d
Math 124A Section 0485Intermediate Algebra A
Los Angeles City CollegeSpring 2017
12:101:35 PM TR FH 108
Instructor: Sui Wing Man
Email: [email protected]
Website: http:/mansmath.wikispaces.com
Office Hours and location: TR 1:402:00 pm at FH 114
11/7/16
Date:
s
by
solve
Objective:
Quadratic Equation:
.
0
least
=
one
b=0
or
a=o
so
by
mult
must
you
6=0
a.
multiplyingfactor
at
get
to
answer
if
when
then
.
factoring
ax2tbxtC=O
Zero Product Property:
I
.
side
of eq=O
This is only true if _.
one
Steps
Sigma Notation
Wednesday, September 21, 2011
10:42 AM
Review: Determine the sum of 42 + 21 10.5 + 5.25 .
The expanded notation a1 + a2 + a3 + + an can be written more
compactly using sigma notation.
If the summation expression is a linear function then
Name:_
Period:_
SM2 1.7 Building and Modeling Functions
Determine if the pattern would be modeled by a linear function, exponential function, or a
quadratic function.
1.
2.
2, 6, 12, 20,
3.
4, 12, 36, 108,
4.
Find the regression equation. Round values t
Name:_
Period:_
SM21.6 Piecewise Functions
Graph the following piecewise functions. State the domain and range of each function.
1.
if x > 0
4 x
g ( x) =
2 x 2 if x < 0
if x 1
3
2. f ( x ) =
x + 1 if x > 1
Domain:_
Domain:_
Range: _
Range: _
x + 2 if
Date:
Objective:
Binomial expansion:
Since multiplying more than 3 binomials is long, tedious, and it is easy to make math errors, someone found a
pattern: the binomial theorem.
n
k =0 k
n
Binomial theorem: (a + b) n = a n k b k
This means:
n
k
Two type
3.3
10/11/16
Date:
operations
function
Objective:
Often, it is useful to combine two functions to make a new function. For instance, you may have a function
describing the revenue from a product and a function describing the costs of producing the product
Tangent to a Circle Property
Monday, March 03, 2008
10:04 AM
Any tangent is perpendicular to the radius at the point of contact.
Exercise: Draw the statement above
Examples
1.
CH 10 Page 1
2.
3.
4.
CH 10 Page 2
5.
a) Type of triangle is
RCT? Explain.
b)
10/20/15
obj
sums
d
Series
:
new
notation

Summation
=
'
start
where
=
'
"i
explicit
ear
end
where
h=
.
+
#
then
h(9t#
plug
in
add
memorize
arithmetic

Sum
=
9YI#
#fqp
,
14
30
,
,
.
.
finite
geometric
Sum
find
SUM
.=i2C')[email protected]!=hf
s
,
~
t
,
exit
fi Ia It
Name:_
Period:_
SM22.1 Exponent Rules N.RN.2
1. What does a negative exponent mean?
2. What is the difference between 3x and x3 ? Explain what each of these expressions means.
Simplify each expression. Your answers should contain only positive exponents.
1.6 Notes  Piecewise Functions
Piecewise functions can represent everyday occurrences because they represent different pieces of a function. For
example, what is the possibility that a runner can run exactly one mile in 11 minutes for the duration of a m
Date:
8/25/16
Objective:
finding
1
Quarter
2
parts
of
graph
a
on
analyze graph
coor
Set
all
Domain:_.
of
If a relation is represented by a graph, the domain is the set of all xcoordinates of points on the
graph. You can think of it as the graphs shadow
9/6/16
1.6 Notes  Piecewise Functions
Piecewise functions can represent everyday occurrences because they represent different pieces of a function. For
example, what is the possibility that a runner can run exactly one mile in 11 minutes for the duration
Name:_
Period:_
SM21.1 and 1.2 Analyzing Functions F.IF.4
Find the intercepts using algebra. Show all your work. Write your answers as ordered pairs.
2 x 9
1. f ( x=
2. f ( x ) = x + 3
3. f ( x ) =
) 3x 6
4. 5 x 2 y =
10
5. 3 x + 7 y =
6
6. 2 x + 5 y =
15
9/1/16
Date_ Pages in book
_
tameness
1.5
Obj: Transformations of functions
Vocabulary
Types of transformations and what it does to the graph of a function
2.
translation
slide

rotations
3.
4.
donitdovith
functions
turn
1.
reflection
dilation
Vertex
get
9/20/16
Objective:
simplify
2.2
Date:
Square Root:
#
Same
Radical Sign:
itself
times
if
2
r
:
Gtradicand
of
r
under
Radicand: #
radicals
Perfect squares:
answhsaneallwholett
List of common perfect squares:
1,419,16
,
25
o
Perfect cubes:
25,36/49,64/81,10
1st Quarter Review
Name _ Date _ Period _
Without graphing determine the end behavior of each polynomial.
2. f ( x ) =
3x 3 + 8 x 2 + 9 x 4
=
lim f ( x ) =
lim f ( x )
x
1. f ( x ) = x 2 5x + 7
lim f ( x ) =
lim f ( x )
x
x+
x+
Simplify each expression by
Cumulative Review 5 (Graphing)
Name _ Date _ Period _
1. Determine if the functions are even, odd or neither.
a. () = 3 4
b. () = 2 3 + 5
c. () = 6 3 2
2. Graph the given function and determine the following:
f ( x) =x 3 2 x 2 3 x
Relative maximum:
Relati
9/2/16
1.5
Date_ Pages insneezes
book _
Obj: Transformations of functions
Vocabulary
Types of transformations and what it does to the graph of a function
reflection
1.
translation
2.
4.

dilation
Vertex

Parent Graph
min
9

.
not
get bigger
max
directi