Friday, April 18, 2014
Wednesday, March 19, 2014
Vertices:
|
(0,0)
|
(0,6)
|
(6,0)
|
||||||
Constraints
|
Objective Function: C=3x+4y
|
||||||||
x ≥
0
y ≥
0
x + y ≤ 6
|
|||||||||
Vertices:
|
||||||||
Constraints
|
Objective Function: C=2x+5y
|
|||||||
x ≥
0
y ≥
0
x + y ≤ 5
|
||||||||
Vertices:
|
||||||||
Constraints
|
Objective Function: C=7x+3y
|
|||||||
x ≥
0
y ≥
0
x + y ≤ 5
|
||||||||
Vertices:
|
||||||||
Constraints
|
Objective Function: C=4x+6y
|
|||||||
x ≥
0
y ≥
0
x + y ≤ 5
|
||||||||
Monday, March 10, 2014
Tuesday, March 4, 2014
Arithmetic & Geometric Sequences
Arithmetic & Geometric Sequences
Arithmetic formula: an= a1 (n + 1) d
Geometric formula: an= a1* r (n-1)
Example: -9, 3, -1, 1/3, 1/9
This is a geometric sequence.
To find the term in a geometric sequence multiply or divide the previous term by “r”.
-9, 3, -1, 1/3, 1/9 r= -1/3
5, -10, 20, -40 r= -2
-10 20 -40
5 -10 20
General forms of a sequence
GENERAL FORMS OF A SEQUENCE
Sequence- Is an ordered list of terms or elements
Geometric sequence formula- In a Geometric Sequence each term is found by multiplying the previous term by a constant. Also called the Common Ratio.
Infinite sequence- Is a function with domain 1,2,3,4.... etc.
Series- Is the sum of a sequence.
Explicit formula- Each domain is an answer not based on any values.
Recursive Formula- Each domain is a answer based on a previous answer.
Thursday, February 27, 2014
Wednesday, January 15, 2014
Characteristics and Traits of Graphs
Domain- The set of all first coordinates (x) of a relation or function.
Range- The set of all coordinates (y) of the relation or function.
End behavior- The appearance of a graph as it is followed farther and farther in either direction.
Absolute Max-The highest point over the entire domain of a function or relation.
Absolute Min- The lowest point over the entire domain of a function or relation.
Local Max- It is a greatest value in a set of points but not highest when compared to all values in a set.
Local Min- Lowest value in a set of points but not the lowest when compared to all the values in a set.
Interval of Increase- An interval of increase is an interval where the function's slope is positive.
Interval of Decrease- An interval of decrease is an interval where a function's slope is negative.
X Intercept- When you have a linear equation, the x-intercept is the point where the graph of the line crosses the x-axis.
Y Intercept- When you have a linear equation, the y-intercept is the point where the graph of the line crosses the y-axis.
Symmetry- the quality of being made up of exactly similar parts facing each other or around an axis.
Even- Symmetry about the y-axis.
Odd- Origin Symmetry.
Neither- neither even or odd.
Asymptotes- a line that continually approaches a given curve but does not meet it at any finite distance.
Function- A function is a special relationship between values: Each of its input values gives
back exactly one output value
One to one- A function for which every element of the range of the function corresponds to exactly one element of the domain.
Range- The set of all coordinates (y) of the relation or function.
End behavior- The appearance of a graph as it is followed farther and farther in either direction.
Absolute Max-The highest point over the entire domain of a function or relation.
Absolute Min- The lowest point over the entire domain of a function or relation.
Local Max- It is a greatest value in a set of points but not highest when compared to all values in a set.
Local Min- Lowest value in a set of points but not the lowest when compared to all the values in a set.
Interval of Increase- An interval of increase is an interval where the function's slope is positive.
Interval of Decrease- An interval of decrease is an interval where a function's slope is negative.
X Intercept- When you have a linear equation, the x-intercept is the point where the graph of the line crosses the x-axis.
Y Intercept- When you have a linear equation, the y-intercept is the point where the graph of the line crosses the y-axis.
Symmetry- the quality of being made up of exactly similar parts facing each other or around an axis.
Even- Symmetry about the y-axis.
Odd- Origin Symmetry.
Neither- neither even or odd.
Asymptotes- a line that continually approaches a given curve but does not meet it at any finite distance.
Function- A function is a special relationship between values: Each of its input values gives
back exactly one output value
One to one- A function for which every element of the range of the function corresponds to exactly one element of the domain.
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