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APC

APC. Review Ch 2 Quadratic Functions. Quiz on Thursday 2.1-2.6. Function notation Domain and Range Minimum and maximums Even and odd functions Library of functions Piece-wise functions Transformations. Function notation. Graph f(x) = x 4 -3x 3 +4x -1.

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APC

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  1. APC Review Ch 2 Quadratic Functions

  2. Quiz on Thursday 2.1-2.6 • Function notation • Domain and Range • Minimum and maximums • Even and odd functions • Library of functions • Piece-wise functions • Transformations

  3. Function notation

  4. Graph f(x) = x4 -3x3 +4x -1 • Find all local maximum and minimums • State the intervals on which the function is increasing • State the intervals on which the function is decreasing

  5. Test for even and odd functions

  6. Sketch each of the functions from the library of functions • Sketch it • Name it • State the Domain and Range • State even, odd, or neither

  7. Average Rate of Change

  8. Sketch this graph (1) horizontally stretched by a factor or 2 and vertically shifted up 3

  9. Quadratic Functions • What is old? f(x) = ax2 + bx + c • Find the vertex • Find the x intercepts • What is new? f(x) = a(x-h)2 +k • Where (h, k) is the vertex • Graph using transformations

  10. Changing from general to vertex form • Completing the square with lead coefficient not 1 • Sheet #4

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