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Topic 1: Be able to combine functions and determine the resulting function.

Topic 1: Be able to combine functions and determine the resulting function. Topic 2: Be able to find the product of functions and determine the resulting function. Topic 3: Be able to perform multiple operations on functions.

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Topic 1: Be able to combine functions and determine the resulting function.

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  1. Topic 1: Be able to combine functions and determine the resulting function. Topic 2: Be able to find the product of functions and determine the resulting function. Topic 3: Be able to perform multiple operations on functions. Topic 4: Determine if two given functions represent equivalent forms of the same function..

  2. Concept 1: _____________________________________________________ What would cause this to occur? _____________________________________ ____________________________________________________________________________________________________________________________ Concept 2: _____________________________________________________ What would cause this to occur? _____________________________________ ____________________________________________________________________________________________________________________________ Concept 3: _____________________________________________________ What would cause this to occur? _____________________________________ ____________________________________________________________________________________________________________________________ Concept 4: _____________________________________________________ What would cause this to occur? _____________________________________ ____________________________________________________________________________________________________________________________

  3. Concept 5: _____________________________________________________ What would cause this to occur? _____________________________________ ____________________________________________________________________________________________________________________________ Concept 6: _____________________________________________________ What would cause this to occur? _____________________________________ ____________________________________________________________________________________________________________________________ Concept 7: _____________________________________________________ What would cause this to occur? _____________________________________ ____________________________________________________________________________________________________________________________ Concept 8: _____________________________________________________ What would cause this to occur? _____________________________________ ____________________________________________________________________________________________________________________________

  4. y = 3x + 7 y = -2 y = 3x + 5 y = 2x + 3 y = 4x - 5 y = 6x - 2

  5. y = x + 2 y = -x -7 y = -5 y = 2 y = 2(x - 1)2 + 5 y = 2(x - 1)2 + 3 y = 2x2 - 4x + 5 y = 2x2 - 4x + 7

  6. y = -2x + 4 y = (x + 4)2 + 8 y = (x + 5)2 - 5 y = x2 + 10x + 20 y = x2 + 8x + 24 y = -2(x + 4)2 - 2 y = -1 y = 2(x + 4)2 + 1 y = -2x2 - 16x - 34 y = 2x2 + 16x + 33

  7. y = 2(x - 2)2 - 6 y = -2(x - 3)2 + 18 y = 4x + 2 y = -2x2 + 12x y = 2x2 - 8x + 2 y = (x - 2)2 - 5 y = (x + 3)2 + 4 y = 2(x + ½)2 + 23/2 y = x2 + 4x - 1 y = 2x2 + 2x + 12 y = x2 + 6x + 13

  8. + = + = y = 3x + 7 y = -2 y = 3x + 5 + = + = y = 2x + 3 y = 4x - 5 y = 6x - 2

  9. + = + = y = x + 2 y = -x -7 y = -5 + = + = y = 2 y = 2(x - 1)2 + 5 y = 2(x - 1)2 + 3 y = 2x2 - 4x + 5 y = 2x2 - 4x + 7

  10. + = + y = -2x + 4 = y = (x + 4)2 + 8 y = (x + 5)2 - 5 y = x2 + 10x + 20 y = x2 + 8x + 24 + = + y = -2(x + 4)2 - 2 = y = -1 y = 2(x + 4)2 + 1 y = -2x2 - 16x - 34 y = 2x2 + 16x + 33

  11. + = y = 2(x - 2)2 - 6 y = -2(x - 3)2 + 18 y = 4x + 2 + = y = -2x2 + 12x y = 2x2 - 8x + 2 + = + y = (x - 2)2 - 5 = y = (x + 3)2 + 4 y = 2(x + ½)2 + 23/2 y = x2 + 4x - 1 y = 2x2 + 2x + 12 y = x2 + 6x + 13

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