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Review for Assignment - College Algebra | MAT 121, Assignments of Algebra

Material Type: Assignment; Professor: Dinwiddie; Class: College Algebra : MA1; Subject: Math; University: Front Range Community College; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 08/05/2009

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MAT 121-College Algebra
Writing Assignments
Four writing assignments are due during the semester, each one consisting of a pack of study
cards based on the material for a particular testing period. 3 x 5 is the only acceptable size.
Each pack must have a title card on top with the following information in the order shown
in the center of the card:
oStudent Name Sample: Alan Dinwiddie
oMAT 121 – Section Number MAT 121-604
oWriting Assignment Number WA 1
oNumber of cards in this pack 42
Each of the subject cards should have a question/statement on the front, with the
answer/completion on the back. The cards must be carefully written and not messy. All
cards should face the same direction.
Write the text section number for the topic in the top-right corner and your name in the
bottom-right corner on the front of each subject card.
Cards will be stacked in order from lower numbered sections on top to higher numbered
sections on the bottom.
There must be at least two cards from each section.
The stack of cards must be held together by a loose fitting rubber band. Wrap the rubber
band in one direction only. Hair bands, metal rings, spiral binders, and 3 ring binders are not
accepted.
Assignments are due at the beginning of class on test days. Late cards are not accepted. The
lowest writing assignment grade will be dropped at the end of the semester.
Even if you are given permission to take a test late, the writing assignment is still due on the
test day.
You may show your cards to the instructor ahead of time for an advance grade or a chance to
re-do.
Grading
oCard sets with all the required elements will receive a 10/10.
oCard sets violating any of the above requirements will receive a 0/10
Due Dates and Content
Chapter 2 Due on day of Test 1 See following pages for required
content
Chapter 3 Due on day of Test 2 Minimum of 20 cards
Chapter 4 Due on day of Test 3 Minimum of 20 cards
Chapters 5-7 Due on day of Test 4 Minimum of 20 cards
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MAT 121-College Algebra

Writing Assignments

 Four writing assignments are due during the semester, each one consisting of a pack of study

cards based on the material for a particular testing period. 3 x 5 is the only acceptable size.

 Each pack must have a title card on top with the following information in the order shown

in the center of the card:

o Student Name Sample: Alan Dinwiddie

o MAT 121 – Section Number MAT 121-

o Writing Assignment Number WA 1

o Number of cards in this pack 42

 Each of the subject cards should have a question/statement on the front, with the

answer/completion on the back. The cards must be carefully written and not messy. All

cards should face the same direction.

 Write the text section number for the topic in the top-right corner and your name in the

bottom-right corner on the front of each subject card.

 Cards will be stacked in order from lower numbered sections on top to higher numbered

sections on the bottom.

 There must be at least two cards from each section.

 The stack of cards must be held together by a loose fitting rubber band. Wrap the rubber

band in one direction only. Hair bands, metal rings, spiral binders, and 3 ring binders are not

accepted.

 Assignments are due at the beginning of class on test days. Late cards are not accepted. The

lowest writing assignment grade will be dropped at the end of the semester.

 Even if you are given permission to take a test late, the writing assignment is still due on the

test day.

 You may show your cards to the instructor ahead of time for an advance grade or a chance to

re-do.

 Grading

o Card sets with all the required elements will receive a 10/10.

o Card sets violating any of the above requirements will receive a 0/

Due Dates and Content

Chapter 2 Due on day of Test 1 See following pages for required

content

Chapter 3 Due on day of Test 2 Minimum of 20 cards

Chapter 4 Due on day of Test 3 Minimum of 20 cards

Chapters 5-7 Due on day of Test 4 Minimum of 20 cards

FRONT OF CARD BACK OF CARD

Definition of a Function A correspondence from a first set, called the

domain, to a second set, called the range, such that

each element in the domain corresponds to exactly

one element in the range.

Vertical Line Test If any vertical line intersects the graph in no more

than one point, then the graph represents a function

Domain of Function Allowable x – values

  1. Square Root – radicand  0

  2. Rational – denominator

Range of Function Allowable y - values

Function Value f ( ) x or y - value

Increasing Function Left to Right, curve rising

Use x-values in answer

Decreasing Function Left to Right, curve falling

Use x-values in answer

Constant Function Left to Right, curve horizontal

Use x-values in answer

Relative Extrema (Rel Max/Min) Relative Max – think hill

Relative Min – think valley

Ans = y-value @ x = x-value

Even Function – Algebraic f (  x )  f ( ) x

Even Function – Graphic Symmetric with respect to the y-axis

Odd Function – Algebraic f (  x )  f ( ) x

Odd Function – Graphic Symmetric with respect to the origin

Slope-intercept form of a linear

equation

ymxb ,

m

= slope, b = y-int

Point-slope form of a linear

equation

1 1

yym x (  x ) ,

m

= slope,  

1 1

x , y = point

General form of a linear equation AxByC  0

Vertical line

xa

Horizontal line yb

Slope of line

2 1

2 1

y y rise y

m

x x run x

Parallel lines Same slope (or both undefined slope)

Perpendicular lines

1

2

m

m

(or one slope 0, other undefined slope)

Slope is _____________ Rate of change

Average rate of change

2 1

2 1

f x f x

x x

Transformations:

reflection in x-axis and

vertical stretch/shrink

Examples:

2

2

f x x

g x x

2

2

( ) 3 , No reflection, vertical stretch

( ) , Reflection in x-axis, vertical shrink

f x x

g x x

Combine functions and domain

Sum

Difference

Product

Quotient

f g x f x g x

f g x f x g x

f g x f x g x

Domain:

Dom f Dom g

f f x

x

g g x

Domain:

Dom f  Dom g , g x ( )  0

Composite Function

fg xf g x

Domain of composite function Exclude the following

  1. values of not in Dom

  2. values of for which ( ) is not in Dom

x g

x g x f

Inverse Functions

1 1

1

for all in Dom

for all in Dom

f f x x x f

f f x x x f

 

Domain/Range of inverse function

1

1

Dom Rng

Rng = Dom

f f

f f

Show algebraically that two

functions are inverses of each other

f g x x

g f x x

Find the inverse of a function

algebraically

yf ( ) x

xy

  1. Solve for

y

1

f ( ) x y

A function must be ______ to have

an inverse

Horizontal Line Test If any horizontal line intersects the graph in no

more than one point, then it represents a 1-

function.

Graphs of a function and its inverse

are …

symmetric with respect to the line

yx

If

f a ( )  b , then

1

f ( ) b a