Consider the function f(x)=12x5+60x4−100x3+3f(x) has inflection points at (reading from left to right) x=Dx=D, EE, and FFwhere DD is    and EE is    and FF is    For each of the following intervals, tell whether f(x)f(x) is concave up (type in CU) or concave down (type in CD).(−∞,D](-∞,D]: [D,E][D,E]: [E,F][E,F]: [F,∞)[F,∞)

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 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...
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Consider the function f(x)=12x5+60x4−100x3+3

f(x) has inflection points at (reading from left to right) x=Dx=D, EE, and FF

where DD is    
and EE is    
and FF is    

For each of the following intervals, tell whether f(x)f(x) is concave up (type in CU) or concave down (type in CD).

(−∞,D](-∞,D]: 
[D,E][D,E]: 
[E,F][E,F]: 
[F,∞)[F,∞)

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