Lecture 3.2 bt
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Lecture 3.2 bt

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Lecture 3.2 bt Lecture 3.2 bt Presentation Transcript

  • Today’s Agenda  Attendance / Announcements ◦ Need TI Graphing Calculator ◦ Exam 2 – Friday 10/11  Covers Chapters 3.1 to 3.7  Questions?  Sections 3.2
  • Piecewise Functions 01 01 )( 2 xx xx xf “Pieces of the Function” Domain of each piece A single function, f
  • Evaluating Piecewise 01 01 )( 2 xx xx xf )2(f )0(f )4(f View slide
  • Piecewise Functions 14 132 )( xx xx xf View slide
  • Absolute Value Function xxf )( Can also be expressed as: 0 0 )( xx xx xf
  • Absolute Value Function 0 0 )( xx xx xf Domain?
  • Graphing Functions Method 1: Plotting Points (T-Chart) 3)( xxg Find the domain of the function, bef ore making the T-Chart
  • Graphing Functions Method 1: Plotting Points (T-Chart) 3)( xxg
  • Graphing Functions Method 1: Plotting Points (T-Chart) xxf 2)(
  • Reading Graphs of Functions (Similar to what we’ve already done) 1 2 3 4 1 2 3 4 )(xf )2(f )1(f )2(f )4(f
  • Reading Graphs of Functions (Similar to what we’ve already done) 1 2 3 4 1 2 3 4 )(xf xxf ,3)( xxf ,0)(
  • Positive / Negative Functions 1 2 3 4 1 2 3 4 )(xf 0)(xf 0)(xf
  • Positive/Negative Functions Without a graph: The Sign Test Sign Test • Identify zero(s) of the function • Plot the zero(s) on a real number line • Choose a test point in each interval • Evaluate function at each test point to determine the sign of f(x) on each interval
  • Positive/Negative Functions Without a graph: The Sign Test 0)(th 0)(th 824)( xth Find Intervals Where:
  • Increasing / Decreasing Functions 1 2 3 4 1 2 3 4 )(xf .)( incxf .)( decxf
  • Graphing Functions Determining if a graph is a function The Vertical Line Test This is a visual representation of what we did yesterday…Each input cannot have more than one output (not predictable)
  • Determining if a graph is a function The Vertical Line Test
  • Classwork • Go over worksheet as class