Chapter 15

Section 15.5: Functions

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15.5 Outline

  1. Definitions
    1. first/second components
    2. function
  2. Representations of functions
    1. ordered pairs
    2. mapping
    3. machine
  3. Functional notation
    1. domain
    2. range
    3. difference quotient
  4. Vertical line test
  5. Some important functions (see below)
    1. constant function
    2. linear function
    3. quadratic function
    4. trigonometric function
    5. exponential function
    6. logarithmic function
    7. probability
… See the whole entry

Section 15.4: Conic Sections

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15.4 Outline

  1. Introduction
    1. definition
    2. model
  2. Geometric definition of conic sections
    1. parabola
      1. focus
      2. directrix
      3. axis
      4. vertex
    2. ellipse
      1. foci
      2. major axis
      3. center
      4. minor axis
    3. circle
      1. center
      2. radius
    4. hyperbola
      1. transverse axis
      2. center
      3. conjugate axis
  3. Algebraic definition of conic sections
    1. general form
      1. first-degree equation
… See the whole entry

Section 15.1: Cartesian Coordinates and Graphing Lines

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15.1 Outline

  1. Solving equations with two variables
    1. satisfy an equation
    2. solution
  2. Cartesian coordinate system
    1. definition
    2. axis, origin, quadrants
    3. coordinates
      1. abscissa
      2. ordinate
  3. Graphing a line by plotting points
    1. graph of a line
    2. procedure
  4. Graphing a line by slope-intercept
    1. standard form
    2. first-degree
… See the whole entry