Graphs
2.1 Graphs
Need To Know
Review Coordinate System
Graphing Equations
Coordinate System
Vocabulary
Xaxis
Yaxis
Ordered Pair
(x, y)
Origin (0,0)
Quadrants
I, II, III, IV 
Examples:
Plot
(3, 4),
(–2, 0),
(4.5, –2)
(–1, –5 ) 

Solutions of Equations
If an equation has
two variables,
1. A solution is a pair
2. There are infinite solutions
3. Order matters
4. Generally, alphabetic order 
Example
Determine whether
(2, 5) and (–2, 1)
are solutions to
y = 2x + 1. 
Graphing Equations
Graphing Linear Equations
Graph:
y = 3x + 21. Choose x
2. Compute y
3. Plot pair
4 3 pairs
5. Connect Dots 

Graphing Non Linear Equations
2.2 Functions
Need To Know
Functions
Definition
Notation
Graphing
Vertical Line test
Function Vocabulary
A _________ is a matching or pairing of things,
generally numbers .
Ex: People in class paired with their favorite color.
A ________ is a relation where every domain
element (x thing) is paired to only one range
element (y thing).
Function Examples
A function is a relation where every domain element
(x thing) is paired to only one range element (y thing).
Are these functions?
Domain 
Range 

Domain 
Range 



Function Notation
Examples:
f(x) = x + 2
Evaluate f(3) 
g(n) = 3n^{2} – 5
Evaluate g(2) 
Function Example
Find
f(1)
Domain,
Range,
xvalure for f(x) = 1 

Find
f(1)
Domain,
Range,
xvalure for f(x) = 1 

Find
f(1)
Domain,
Range,
xvalure for f(x) = 1 

Vertical Line Test
When can a picture of a graph be a function?
Vertical Line Test –
Start solving your Algebra Problems
in next 5 minutes!




Algebra Helper
Download (and optional CD)
Only $39.99

Click to Buy Now:
OR






2Checkout.com is an authorized reseller
of goods provided by Sofmath


Attention: We are
currently running a special promotional offer
for AlgebraAnswer.com visitors  if you order
Algebra Helper by midnight of
January 20th
you will pay only $39.99
instead of our regular price of $74.99  this is $35 in
savings ! In order to take advantage of this
offer, you need to order by clicking on one of
the buttons on the left, not through our regular
order page.
If you order now you will also receive 30 minute live session from tutor.com for a 1$!

You Will Learn Algebra Better  Guaranteed!
Just take a look how incredibly simple Algebra Helper is:
Step 1
: Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:
Step 2 :
Let Algebra Helper solve it:
Step 3 : Ask for an explanation for the steps you don't understand:
Algebra Helper can solve problems in all the following areas:
 simplification of algebraic expressions (operations
with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots
(radicals), absolute values)
 factoring and expanding expressions
 finding LCM and GCF

(simplifying, rationalizing complex denominators...)
 solving linear, quadratic and many other equations
and inequalities
(including basic logarithmic and exponential equations)
 solving a system of two and three linear equations
(including Cramer's rule)
 graphing curves (lines, parabolas, hyperbolas, circles,
ellipses, equation and inequality solutions)
 graphing general functions
 operations with functions (composition, inverse, range, domain...)
 simplifying logarithms
 basic geometry and trigonometry
(similarity, calculating trig functions, right triangle...)
 arithmetic and other prealgebra topics
(ratios, proportions, measurements...)
ORDER NOW!




Algebra Helper
Download (and optional CD)
Only $39.99

Click to Buy Now:
OR






2Checkout.com is an authorized reseller
of goods provided by Sofmath





"It
really helped me with my homework. I was
stuck on some problems and your software walked me
step by step through the process..." 
C. Sievert, KY
 



Sofmath
19179 Blanco #105234 San Antonio, TX 78258

Phone:
(512) 7885675 Fax: (512) 5191805
  