11/1/2013
4-.
/ 3
- When I dare to be powerful, to use my
Strength in the service of my vision, then it
becomes less and less important whether I am
afraid.
4 4
- Check the Assignment Schedule and/or the
Challenger Assignment Schedule for today's
paper ho
8/25/2013
PRECALCULUS
- MATH 1284 Section 002 - 8:35 am
Section 003 9:40 am
- Paper Homework Section 1.2 pp. 159162
3,5,11,17,19,21,31,33,38,59,77,87,91,93,
97,107,116
' Challenger Paper Homework Section 1.2
pp. 159162 26,34,64,88,96
RELATION
- Any set o
MATH 1160 Fall 2011 Exam 3 ~ Green 2
MULTIPLE CHOICE
Problems 1 11 are worth 6.5 points each. Partial credit will NOT be provided. Mark your answer
on the scantron sheet.
1. Find taut given that sint=§and cott<0. '3 S)
{o 5
$3 3) _§ 6,6337:
wig 0 : ao+J
REVIEW SHEET FOR EXAM 2
PRECALCULUS
Fall, 2013
THINGS TO BE ABLE TO STATE/DEFINE
1. Definition of logarithm
2. Domain and range of exponential/logarithmic functions
3. Log Rules/Properties/Laws
a.
b.
c.
d.
e. Product Rule
f. Quotient Rule
g. Power Rule
h.
10/11/2013
3. /
Asp
Section 3.1 Exponential Function
0 Check the Assignment Schedule and/or the 0 f (x) = b
Challenger Assignment Schedule for today's where b E R, b > o, b i 1 and x e R
paper homework assignment.
I) is called the base
2: is called them
G
Section 3.2
0 An exponential function is one-to-one.
Therefore, an exponential function has an
inverse.
- Definition: Forx > 0 and I» 0, b at 1
y = log, x is equivalent to by = x
kjus'micm MJIcatinJrnn
The function f (x) = log,J x is the logarithmic
funct
10/2/2013
Section 2.4
Operations on Polynomials
- Check the Assignment Schedule and/or the
Challenger Assignment Schedule for today's
paper homework assignment.
' Addition and Subtraction
Add/subtract like terms.
0 Multiplication
Multiply each term of one
REVIEW SHEET
EXAM 1
PRECALCULUS
THINGS TO BE ABLE TO STATE/DEFINE
1. Relation
2. Function
3. Vertical Line Test
4. Difference Quotient => average rate of change & slope of the secant line
5. Properties of the slope of
a. Parallel lines
b. Perpendicular li
9/6/2013
SECTION 1.8 INVERSE FUNCTION
- An inverse nction '1 ,
0 Check the Assignment Schedule and/or the "Llfzdoesu affunction f.
Challenger Assignment Schedule for the
specific assignment for today. (fa f4 Xx) =f -1( x ) ) = x
AND
(f'1°f)(X) =f '1 0M) =
9/3/2013
SECTION 1.7 DOMAIN
- Check the Assignment Schedule and/or the ' The domain of a function is the set of all real
Challenger Assignment Schedule for the numbers for which the function is defined.
specific assignment.
° Remember:
You cannot divide b
11/6/2013
' TWO atoms were Walking along the street. One 0 Remember inverse functionsl A function [has
squealea 1"th 3" glamour, an inverse iff the function is one-to-one
The other asked, "Are you sure?" '
"Yes. I'm positive." responded the rst.
' Trig fu
10/25/2013
4.2
20/(3
C?
- Opportunity is miSsed by most people ' Remember: one radian is the measure of the
because it is dressed in overalls and looks like central angle of a circle that intercepts an arc
work. equal in length to the radius of the circle
0 The greateSt glory in living lies not i°n never
falling, but rising every time we fall.
10/23/2013
4.3
I Check the Assignment Schedule and/or the
Challenger Assignment Schedule for todays
paper homework assignment.
Right Triangle Definitions
of Trig Fun
11/7/2013
Solve a Triangle
I To solve a triangle, you must find the lengths
- The onl thin that Stands be tween ou and
y g v of all three sides and the measures of all three
your dream is the will to try and the belief
that it is actually possible. angles
- Remember there's no such thing as a small act
of kindness. Every act creates a ripple with no
logical end.
' 5.2 Ind 5.3
Sum and Difference Identities
' cos(a - B) = cosacos +sinasln
ng :3
-r-r"
. The paper homework assignment is found on 5 97 (57 Lg
9/22/2013
Section 11.1 Limits
- Check the Assignment Schedule and/or the - The limit of a function as x approaches a
Challenger Assignment Schedule for todays number. The idea is that as x gets closer and
paper homework assignment. closer to a number, the
9/15/2013
SECTION 9.3
PARABOLA
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Challenger Assignment Schedule for todays
paper assignment.
0 Parabola = locus of points in a plane that are
equidistant from a fixed line = directrix and a
xed point = fo
10/15/2013
«3.4
19f;
Quality does n91: happen by attident- It is the - An exponential equation is an equation
FeSU|t Of mtentlonal Effort containing a variable in an exponent.
3.4
° METHODS OF SOLUTION
- Express each side of the equation as an
exponentia
10/14/2013
9
Section
° Check the Assignment Schedule and/or the We looked first at exponential functions,
Challenger Assignment Schedule for todays y = b", b > 0, b at 1, x is a real number
paper homework assignment.
Then we defined the inverse of the ex