Fundamentals of College Algebra

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Mind Map on Fundamentals of College Algebra, created by Payton Kopp on 27/09/2017.
Payton Kopp
Mind Map by Payton Kopp, updated more than 1 year ago
Payton Kopp
Created by Payton Kopp over 6 years ago
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Resource summary

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