# SOLUTION: If f(x)= x(x+1) (x-4), use interval notation to give all values of x where f(x) >0.

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 Click here to see ALL problems on Trigonometry-basics Question 102561: If f(x)= x(x+1) (x-4), use interval notation to give all values of x where f(x) >0.Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!f(x) = x(x + 1)(x - 4) For x = 0, x = -1, and x = 4, f(x) has the value of zero. <----------(-1)---------(0)-------------------------(4)--------> Test: f(-2) = -2(-1)(-6) = -12 f(-1/2) = (-1/2)(1/2)(-9/2) = 9/8 f(1) = (2)(-3) = -6 f(5) = 5(6)(1) = 30 <----------(-1)=========(0)-------------------------(4)========> f(x) > 0 only satisfied by f(x) > 4 and 0 > f(x) > -1 or (-1,0)U(4,+)