Determine the following for each polynomial function and then sketch the corresponding graph: i) the degree ii) the leading coefficient iii) the zeros and indicate if they are of order 1, 2, or 3 iv) the intervals where the function is positive and negative a) f(x) = -4(x - 3)(x + 2)(2x - 1) b) g(x) = 0.5x(x + 4)³(2x - 3)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 2CC: (a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c...
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6. Determine the following for each polynomial function and
then sketch the corresponding graph:
i) the degree
ii) the leading coefficient
iii) the zeros and indicate if they are of order 1, 2, or 3
iv) the intervals where the function is positive and negative
a) f(x) = -4(x − 3)(x + 2)(2x - 1)
b) g(x)= 0.5x(x + 4) (2x − 3)
Transcribed Image Text:6. Determine the following for each polynomial function and then sketch the corresponding graph: i) the degree ii) the leading coefficient iii) the zeros and indicate if they are of order 1, 2, or 3 iv) the intervals where the function is positive and negative a) f(x) = -4(x − 3)(x + 2)(2x - 1) b) g(x)= 0.5x(x + 4) (2x − 3)
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