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

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

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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. - PowerPoint PPT Presentation

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

Page 2: Topic 1:  Be able to combine functions and determine the resulting function.

Concept 1: _____________________________________________________

What would cause this to occur? _________________________________________________________________________________________________________________________________________________________________

Concept 2: _____________________________________________________

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Concept 3: _____________________________________________________

What would cause this to occur? _________________________________________________________________________________________________________________________________________________________________

Concept 4: _____________________________________________________

What would cause this to occur? _________________________________________________________________________________________________________________________________________________________________

Page 3: Topic 1:  Be able to combine functions and determine the resulting function.

Concept 5: _____________________________________________________

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Concept 6: _____________________________________________________

What would cause this to occur? _________________________________________________________________________________________________________________________________________________________________

Concept 7: _____________________________________________________

What would cause this to occur? _________________________________________________________________________________________________________________________________________________________________

Concept 8: _____________________________________________________

What would cause this to occur? _________________________________________________________________________________________________________________________________________________________________

Page 4: Topic 1:  Be able to combine functions and determine the resulting function.

y = 3x + 7 y = -2 y = 3x + 5

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

Page 5: Topic 1:  Be able to combine functions and determine the resulting function.

y = x + 2 y = -x -7 y = -5

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

Page 6: Topic 1:  Be able to combine functions and determine the resulting function.

y = (x + 5)2 - 5 y = -2x + 4 y = (x + 4)2 + 8

y = 2(x + 4)2 + 1 y = -2(x + 4)2 - 2 y = -1

y = x2 + 10x + 20 y = x2 + 8x + 24

y = 2x2 + 16x + 33 y = -2x2 - 16x - 34

Page 7: Topic 1:  Be able to combine functions and determine the resulting function.

y = 2(x - 2)2 - 6 y = -2(x - 3)2 + 18 y = 4x + 2

y = (x + 3)2 + 4 y = (x - 2)2 - 5 y = 2(x + ½)2 + 23/2

y = 2x2 - 8x + 2 y = -2x2 + 12x

y = x2 + 6x + 13 y = x2 + 4x - 1 y = 2x2 + 2x + 12

Page 10: Topic 1:  Be able to combine functions and determine the resulting function.

y = (x + 5)2 - 5 y = -2x + 4 y = (x + 4)2 + 8

y = 2(x + 4)2 + 1 y = -2(x + 4)2 - 2 y = -1

y = x2 + 10x + 20 y = x2 + 8x + 24

y = 2x2 + 16x + 33 y = -2x2 - 16x - 34

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Page 11: Topic 1:  Be able to combine functions and determine the resulting function.

y = 2(x - 2)2 - 6 y = -2(x - 3)2 + 18 y = 4x + 2

y = (x + 3)2 + 4 y = (x - 2)2 - 5 y = 2(x + ½)2 + 23/2

y = 2x2 - 8x + 2 y = -2x2 + 12x

y = x2 + 6x + 13 y = x2 + 4x - 1 y = 2x2 + 2x + 12

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