COMM 101R: PUBLIC SPEAKING
INSTRUCTOR: JULIE PETTIT, ADJUNCT
CLASS MEETS: MWF, 2:00 2:50, BAL, 2062
OFFICE: LIBRARY, 3RD FLOOR, COLLEGE OF ARTS & LETTERS OFFICES, RM 3011G
OFFICE HOURS: BY APPOINTMENT
1) Find the EXACT value of each logarithm.
(a)
log(100,000)
(b) log25 (125)
1
(c) log9 ( )
81
2) Using transformations, sketch the function = log 3 ( + 2) 3. Include all asymptotes.
3) Using transform
Section 8.2
A system of linear equations (or a linear system) in three variables is a collection of two or more linear
equations involving the same variables. For example,
2 + 3 4 = 3
+ 2 + 3 = 3
3
Section 4.1
Definition of the Exponential Function:
A function f in the form () = , where a>0 and a1 is called an exponential function with base a and
exponent x. Its domain is (-,).
1) Evaluate the f
Section 2.4
Functions
1. A set of ordered pairs is called a relation.
2. The set of all x-coordinates is called the domain of the relation, and the set of all ycoordinates is called the range of the r
Section 2.9
A function is called a one-to-one function if each y-value in its range corresponds to only one x-value in
its domain.
To show that a function f(x) is one-to-one algebraically
1) Let a and
Section 3.2
A polynomial function of degree n is a function of the form
where n is a nonnegative integer and the coefficients an, an1, , a2, a1, a0 are real numbers with an 0.
The term anxn is called
1.5 Inequalities
Compound Inequalities
A compound inequality is formed when two inequalities are joined with the word AND or OR.
A value is a solution of a compound inequality formed by the word AND
Section 2.2
Finding the intercepts
To find the x intercept plug 0 in for y and solve for x.
To find the y intercept plug 0 in for x and solve for y.
Remember to write the x and y intercepts as order p
Objective: Solving equations containing rational expressions. In equations such as these, use the multiplication
property of equality to clear the equation of fractions by multiplying both sides of th
Old Dominion University
Department of Mathematics & Statistics
Mr. Stowe MATH 162 mwf Test 5 Spring 2017 A
Kg 4
HONOR CODE:
I pledge to support the Honor System of Old Dominion University. I will re
Section 1.2
Solving Quadratic Equations by Factoring
1. A quadratic equation is an equation that can be written in the standard form
ax 2 + bx + c =
0
where a, b, and c represent real numbers, and a 0
1) Write the equation of the quadratic function with the given information.
Vertex=(-1,2); passing through the point (3,10)
Y= (x+1)2+2
2) Write the given quadratic equation in standard form and then
Section 3.3
Use long division to find the quotient and the remainder.
1)
2)
4 3 2 2 +3
23
6 +5 3 +7+3
2 +2
Use synthetic division to find the quotient and the remainder.
3) (2x3-3x2-x+2)(x+2)
1
3
4)
English 110C: English Composition, Spring 2016
Professor: Kim Sibson
E-mail: [email protected]
Office phone: 683-4938
Office: 2101K Engineering Systems Bldg.
Office hours: M & T 3-4, or by appt.
Section
CHAPTER 12
1. Aggregate demand- aggregate supply- the macroeconomic model that uses aggregate
demand and aggregate supply to determine and explain the price level and the real
domestic output
2. Aggre
1
OLD DOMINION UNIVERSITY
COLLEGE OF ARTS AND LETTERS
Department of Communication and Theatre Arts
Dance Emphasis
Fall 2015
Instructor: Tami M. White, Ed.D.
Office: Diehn 1106D
e-mail (preferred conta
Math 162M Spring 2017 - Test #1
Solutions :
1. Solve the following word problem using an ALGEBRAIC solution.
Two cars leave the same place at the same time, traveling in opposite directions. After 4 h
Math 162M Spring 2017 - Test #1
Solutions :
1. Solve TWO of the following three quadratic equations. Indicate which you want graded.
(a) ( + 5)( + 9) = 5
2 + 14 + 45 = 5
2 + 14 + 40 = 0
( + 10)( + 4
Final Exam Review Math 162
1. Solve each equation. Be sure to check for extraneous solutions if necessary.
a) ( x 2) 2 15 0
b) ( x 2 1) 2 10( x 2 1) 16 0
c) x 3 2 x 2 x 2
x
2
1
1
e)
2
2x 2
x 1 x 1
d)
Section 1.1
The domain of the variable in an equation is the set of all real numbers for which both sides of the
equation are defined.
1) Find the domain for the equation 2 + 3 = 10
Equations in which
Section 3.4
1. Definition If c is a real number in the domain of a function f and f(c) =0, then c is called a real zero of f.
a. Geometrically, this means that the graph of f has an x-intercept at x =
Section 3.1
Objective: Writing quadratic functions in standard form y= a(x h)2 + k.
We know that the graph of a quadratic function is a parabola. If a quadratic function is written in standard form
f(
Section 1.3
A complex number is a number that can be written in the form a + bi, where a and b are
real numbers. In general, a complex number a + bi is a real number if b = 0. Also, a
complex number i
Section 4.3
Rules for Logarithms:
Let b, M, and N be positive real numbers with b1, and let r be any real number.
Product Rule:
log ( ) = log + log
Quotient Rule:
log ( ) = log log
Power Rule:
log (