SOLUTION: The function f(x)=-2(x+2)(x-3)(x-1) is negative for the domain Select one: a. x<-2,1<x<3 b. x<0 c. x>0 d. -2<x<1,x>3

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Question 1181485: The function f(x)=-2(x+2)(x-3)(x-1) is negative for the domain
Select one:
a. x<-2,1 b. x<0
c. x>0
d. -23



Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


The function is degree 3 with negative leading coefficient, so the function value is positive for large negative values of x and negative for large positive values of x.

The function has single roots at x=-2, x=1, and x=3; so the sign of the function changes at those values of x. So the function value is...
positive on (-infinity, -2)
negative on (-2,1)
positive on (1,3)
negative on (3,infinity)

ANSWER d.


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