Download Review for Assignment - College Algebra | MAT 121 and more Assignments Algebra in PDF only on Docsity!
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
Square Root – radicand 0
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
y mx b ,
m
= slope, b = y-int
Point-slope form of a linear
equation
1 1
y y m x ( x ) ,
m
= slope,
1 1
x , y = point
General form of a linear equation Ax By C 0
Vertical line
x a
Horizontal line y b
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
f g x f g x
Domain of composite function Exclude the following
values of not in Dom
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
y f ( ) x
x y
- 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
y x
If
f a ( ) b , then
1
f ( ) b a
