Class_Notes_4.1 - Sketch the graph of each function by...

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Section 4.1 Class Notes Polynomial Functions and Models Guiding Question 1 Determine which functions are polynomials and state the degree. If not, state why. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 3 2 3 5 3 4 3 3 3 x a f x x x b f x x c f x d f x x x + = - + = = = - - Guiding Question 2 Form a polynomial whose zeros and degree are given. Don’t expand. (a) Zeros: -2,0,4 Degree 3 (b) Zeros: -2, multiplicity 3; 1, multiplicity 1; degree 4 Guiding Question 3 Find a polynomial function that could form the graph shown below. Guiding Question 4 Use transformations of 4 y x = or 5 y x = to graph each function. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 5 4 5 3 3 1 2 a f x x b f x x c f x x = + = + = - -
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Guiding Question 5
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Unformatted text preview: Sketch the graph of each function by using end-behavior and multiplicity of zeros. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 3 1 3 2 ( 2)( 4) a f x x x x b f x x x x =-+ = +-+ Answers: 1. (a) Polynomial, degree 3 (b) Polynomial, degree 2 (c) Not a polynomial because the variable is in the denominator (d) Not a polynomial because of the radical 2. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 3 2 4 2 1 a f x x x x b f x x x = +-= +-3. ( 29 ( 29 ( 29 2 2 3 f x x x x = +-4. (a) (b) (c) 5....
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This note was uploaded on 09/08/2010 for the course MATH 201A at San Jose State University .

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Class_Notes_4.1 - Sketch the graph of each function by...

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