Graphs
2.1 Graphs
Need To Know
 Review Coordinate System
Graphing Equations
Coordinate System
Vocabulary
X-axis
Y-axis
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) = 3n2 – 5
Evaluate g(-2) |
Function Example
Find
f(1)
Domain,
Range,
x-valure for f(x) = 1 |
 |
Find
f(1)
Domain,
Range,
x-valure for f(x) = 1 |
 |
Find
f(1)
Domain,
Range,
x-valure for f(x) = 1 |
 |
Vertical Line Test
When can a picture of a graph be a function?
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