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10584304
Fundamentals of College Algebra
Description
Mind Map on Fundamentals of College Algebra, created by Payton Kopp on 27/09/2017.
Mind Map by
Payton Kopp
, updated more than 1 year ago
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Payton Kopp
over 6 years ago
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Resource summary
Fundamentals of College Algebra
Section 1
1.2 Visualizing Relationships in Data
Independent Variable: x- Axis, Input, Domain
Dependent: y-Axis, Output, Range
Scatter plot
Example
1.4 Definition of Function
A Function is a relation in which each input gives exactly one output
Example
Uses data tables
1.5 Function Notation
y=f(x)
Constant Graph
Linear Graph
Absolute Value
Quadratic
1.6 Working with Functions: Graphs
These are the graphs you get for different
1.5 and 1.6 are very similar
1.7 Functions: Getting Information from the Graph
Domain and Range from a Graph
1.9 Making and Using Formulas
PV=nRT Solve for T.
Section 2
2.2 Linear Functions: Constant Rate of Changed
Slope, Rise over Run
Slope Form: Y= mx + b
2.3 Equations of lines: Making Linear Models
Point Slope Form: (y - y1)= m(x - x1)
General Form: 0=Ax + By + C
Horizontal- Intercept Set y=0, plug it in, and solve for x
Vertical- Intercept Set x=0, plug it in, and solve for x.
2.4 Varying the Coefficients: Direct proportionality Parallel & Perpendicular Lines
A line has a n equation g(t) = 2/3t - 4
What is the slope? 2/3
What is the slope a parallel line? 2/3
What is the slope of a perpendicular line? -3/2
y=kx+0
A Horizontal line has a slope of 0
A Vertical Line does not have a slope.
2.5 Selecting & Writing Line of Best Fit
Example
You pick two points to use to to find the equation of the line of best fit.
2.7 Linear Equations: Points of Intersection
2.6 Linear Equations: Getting Information from a Model
R = 500 - 0.25Q; 100
Find Q in the equation above using the given R value.
Using model's like this one
Tool Kit
Linear Inequalities & Interval Notation
{-1 <x<2}
Example
Solving Basic Equations
2(3+x)=2(4x-1)-10
Example
7.1 Solving Systems of Linear Equations in two Variables
x = 1/2y + 3 8x +3y =-11. substitute x into the other equation. 8(1/2y + 3) +3y = -11. Then solve for y
Media attachments
Graph (binary/octet-stream)
Function (binary/octet-stream)
Data Table (binary/octet-stream)
Scatter Plot (binary/octet-stream)
Absolute Value (binary/octet-stream)
Linear1 (binary/octet-stream)
Constant (binary/octet-stream)
Quadratic (binary/octet-stream)
Domain And Range From A Graph (binary/octet-stream)
X>2 (binary/octet-stream)
Solving Basic Equations (binary/octet-stream)
Line Of Best Fit (binary/octet-stream)
Areacomposite (binary/octet-stream)
Point Of Intersection (binary/octet-stream)
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