Post a New Question

advanced functions

posted by .

Solve for x, x ϵ R
a) (x + 1)(x – 2)(x – 4)2 > 0

  • advanced functions -

    From the function:
    f(x) = (x + 1)(x – 2)(x – 4)²
    we see that it is a quartic with leading coefficient equal to 1. So the shape of the curve is like a letter W.

    Since factors (x+1) and (x-2) are distinct, we see that f(x)<0 ∀ xϵ(-1,2).

    The double root at x=4 means that f(4)=0.

    Thus f(x)>0 ∀xϵ (-∞,-1)∪(2,4)∪(4,+∞)

Answer This Question

First Name:
School Subject:

Related Questions

More Related Questions

Post a New Question