No SIM 6 35 PM 90% - Logged in as alothman001 Log Out G MATHEMATICAL ASSOCIATION

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No SIM 6 35 PM 90% - Logged in as alothman001 Log Out G MATHEMATICAL ASSOCIATION OF AMERICA WeBWorK webwork su15math140/ chap3sec2/5 MAIN MENU Courses Homework Sets ChanoSaca Cha p3Sec2: Problem 5 Problem Previous Problem List Next User Settings (1 point) By applying Rolle's theorem, check whether it is possible that the function f(z) =z?+x-12has two real roots. Grades Problems Answer: (input possibie or impossible) Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Your reason is that i f(r) has two real roots then by Rolle's theorem: f'(r) must be (input a number here) at a certain value of between these two roots, but f,(z) is always (input negative , positive, or zero ) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 6 attempts remaining. Ernall Instructor

Explanation / Answer

To find this we will plug x=0

f(0) =-12 and for x=1

f(1) = -1

so we see that both have negative roots , it means not possible

a) impossible

To find second part   we will find the   derivative

f '(x) =5x^4+1 >0 it means , always positive

b ) less than 0

c ) positive

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