Unit 4: Exponents and Logarithms (Day 4)
Section 5.5 Laws of Logarithms
Multiplication Law:
Division Law:
Power Law:
Exponents
Logarithms
a x a y a x y
log a xy log a x log a y
a x a y a x y
log a ( x
Unit 4: Graphing Quadratic Functions
Graphing y a ( x p) 2 q
Recall:
We can quickly graph any quadratic, by hand, if the function is in the form
f ( x) a ( x p) 2 q
a:
p:
q:
Graph:
i) f ( x) x 2
Verte
Final Exam Review III
January 18, 2012
UNIT 5: SYSTEMS OF EQUATIONS AND INEQUALITIES
1. Solve. Answer both algebraically and on a number line:
x 2 5 x 14 0
2. Graph the region defined by:
2 x 3 y 6
3.
Unit 4: Graphing Quadratic Functions
Unit Review
Topics Covered:
1. Graphing Quadratic Functions
- Properties of the graph (vertex, axis of symmetry, intercepts)
- Graphing y a ( x p) 2 q
- Completing
Lauren Doherty
Math
Mrs. Glass
4/2/2014
Simple vs. Damped harmonic motion
Simple harmonic motion is repetitive movement back and forth through an
equilibrium, or central, position, so that the maximum
MTH 1210 2.4 Average Rate of Change of a Function Fall 2013
Rates of change are very important in applications. We are often interested in how a quantity is
changing over time. That is the rate of ch
'¥**'Mf
MTH 1210 3.5 Complex Numebrs Fall 2013
A complex number is an expression in the form
a + bi
Where a and b are real numbers and i = \/1.
The real part is the number a and the imaginary par
1:1,
«
Mlll 1210 3.4 Real Zeros of Polynomials Fall 2013
Rational Zeros of Polynomials
We know how to nd zeros of polynomials of degree two. We can factor or use the quadratic formula.
We c
Unit 8: Functions (Day 1)
Adding and Subtracting Functions
Domain and Range:
Domain is a list of all the possible x values.
Polynomials, exponentials, odd indexed roots, sine and cosine
all have doma
Unit 3: Permutations and Combinations (Review)
Unit Review
Topics Covered:
1. The Fundamental Counting Principle
2. Permutations
Different Objects
n
Pr
Identical Objects
P
n!
(n r )!
n!
a!b!c!
3. Co
Unit 8: Functions (Day 6)
Analyzing Rational Functions
Discontinuities:
On a graph, the non-permissible values of a rational function correspond to either a
vertical asymptote or a point discontinuity
PreCal (1) Name
WS ZKoDay 2
Graph & answer the following (ifthey exist) :
,F A) coordinates of the zeros B) coordinates of the excluded points
( WC) equations of the vertical asymptotes D) equations o
Name _
Pre-Cal (1)
Review Sheet
Module 4
Find each of the indicated values for each conic section and sketch the graph.
1.
4x2 + 16y2 = 64
Center:
Vertices:
Foci:
Eccentricity:
( x 1) 2 ( y 1) 2
1
16
Pre-Cal (1)
Equation Review
Solving an equation: find the value(s) of the variable that makes the equation true.
Identity: an equation that is true for every real number in the domain of the variable.
Name _
Pre-Cal (1)
WS 4.1 Day 1
Graph each ellipse or circle and find the following.
1.
(4)2
16
+
(+1)2
25
=1
center:
vertices:
foci:
major axis:
minor axis:
Eccentricity:
2. 4x2 + 9y2 = 36
center:
ve
Unit 3: Permutations and Combinations (Day 1)
Section 8.1 Fundamental Counting Principle
i) An ice cream parlor has 3 types of cones (plain, sugar and waffle)
and 10 kinds of ice cream. How many choic
Unit 4: Exponents and Logarithms (Day 1)
Exponents Review
Exponent Laws:
Multiplication Law: When multiplying powers with the same base, ADD the exponents.
Division Law: When dividing powers with the
Unit 4: Exponents and Logarithms (Day 11)
Graphing Logarithmic Functions
i) Make a table of values and sketch a graph of
y log 2 x
Properties of the graph:
x-intercept:
y-intercept:
Domain:
Range:
Asy
Unit 4: Exponents and Logarithms (Day 3)
Defining Logarithms
Use your calculator to evaluate
log10
log100
log1000
log10000
log x is the exponent 10 has if x is written as a power of ten.
Definition:
l
Unit 4: Quadratic Functions
Lesson 1
Properties of the Graph of a Quadratic
A quadratic function is defined as having an equation with degree 2.
Its equation can be written as:
y ax 2 bx c
where a, b,