Chapter 1 Section 3
Lines
Calculate and interpret the slope of a line:
Let = (1 , 1 ) and = (1 , 1 ) be two distinct points. If 1 2 , the slope of the nonvertical line
containing and is defined by th
Writing Assignment 2
Due: Tue. Feb. 18, 2014
Name:_
Graph the given piecewise function, and, in a few complete sentences, explain you steps.
3, 2
2
4, 2 < < 1
() =
1, 1
Evaluate the function at the
Chapter Outline
I.
ADOLESCENCE is the developmental stage between childhood and adulthood.
A. Physical Maturation
1. Growth During Adolescence: The Rapid Pace of Physical and Sexual Maturation
a) Grow
Chapter Outline
I.
Physical Development
A. Physical Development and the Senses
1. Most people are at the peak of their physical capabilities.
2. Although SENESCENCE, the natural physical decline broug
Chapter Outline
I.
Forging Relationships: Intimacy, Liking and Loving During Early Adulthood
A. The Components of Happiness: Fulfillment of Psychological Needs
1. For young adults, happiness usually i
PSYC 233 TEST THREE STUDY GUIDE
Study suggestions:
Integrate your notes with your reading of the textbook and the book of readings.
Use the glossary in the textbook.
You dont need to memorize definiti
Name: _ Date: _
1. What is the major product for the following reaction?
A)
B)
C)
D)
E)
Page 1
2. What is the major product for the following reaction?
A)
B)
C)
D)
E)
Page 2
3. Which alcohol would be
Name: _ Date: _
1. The most stable conformation of 1,2-dibromoethane is:
H
H
Br
H
Br
H
H
H
H
Br
Br
H
H
Br
H
H
H
I
II
III
H
A)
B)
C)
D)
E)
Br
Br
H
Br
H
Br
H
Br
H
H
H
H
IV
V
I
II
III
IV
V
2. Which cyclo
Chapter 2 Section 4
Library of Functions; Piecewise-defined Functions
*Refer to PowerPoint on Moodle for the Library of Functions
Piecewise-defined Functions:
When a function is defined by different e
Chapter 3 Section 2
Linear Models: Building Linear Functions from Data
Ex 1: Describe the slope of the line.
Ex 2: The cost of renting a kayak is represented by the equation
hours and
, where
represen
Chapter 3 Section 4
Build Quadratic Models from Verbal Descriptions and Data
Ex 1: Suppose an object is dropped from a height
by
, where
above the ground. Then its height after seconds is given
is mea
Chapter 3 Section 1
Properties of Linear Functions and Linear Models
A linear function is a function of the form ( )
. The graph of the linear function is a line with slope
and y-intercept . Its domai
Chapter 2 Section 5
Graphing Techniques: Transformations
Sometimes we are asked to graph a function that is almost like the one that we already know how to graph.
In this section, we will develop tech
Chapter 2 Section 1
Functions
Determine whether a relation represents a function
A relation is a correspondence between two sets. If a relation exists between and , then we say that
corresponds to or
Chapter 1 Section 2
Graphs of Equations in Two Variables; Intercepts; Symmetry
An equation of two variables, say x and y, is a statement in which two expressions involving x and y are equal.
The graph
Chapter 3 Section 3
Properties of Quadratic Functions
A quadratic function is a function of the form ( )
, , and are real numbers and
is the set of all real numbers or (
where
. The domain of a quadra
Chapter 1 Section 4
Circles
A circle is a set of points in the xy-plane that are a fixed distance from a fixed point (, ). The fixed
distance is the radius, and the fixed point(, )is called the center
Chapter 2 Section 3
Properties of Functions
Determine Even and Odd Functions from a Graph
A function is even if the number is also in the domain and () = (). Even functions have symmetry
wrt the y-axi
Chapter 2 Section 2
The Graph of a Function
Identify the graph of a function
The Vertical Line Test - A set of points in the xy-plane is the graph of a function if and only if every vertical
line inte
Chapter 1 Section 1
The Distance and Midpoint Formulas
REVIEW:
We will be working in a two-dimensional plane. This plane is sometimes called the xy-plane because the plane
is formed by the x-axis and
Math 170E
Fall 2013
Name_
Quiz (2.1,2.2)
1
For f ( x) x ; g ( x) 2 x 3 , find the following
(a)
( f g )( x)
f
(b) ( x)
g
(c)
f
g (4)
f
(d) (1)
g
2.
Find the domain of the functions found in problems