Sunday

October 26, 2014

October 26, 2014

Posted by **FUNCTIONS** on Friday, July 5, 2013 at 2:07pm.

a) (x + 1)(x – 2)(x – 4)2 > 0

- advanced functions -
**MathMate**, Friday, July 5, 2013 at 3:03pmFrom 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**

**Related Questions**

advanced functions - Solve for x, x ϵ R ¨Cx3 + 25x ¡Ü 0

Advanced Functions - Solve: (1/2^x) > (1/x^2)

Advanced functions - Solve: a) 1/(2^x) = 1/(x+2) b) 1/(2^x) > 1/(x^2)

advanced functions - Solve 2tan^2x + 1 = 0 Interval : [0, 2 pi]

Math-Advanced Functions - I am having trouble figuring out how to solve this ...

Advanced functions - Solve x^3 -3x^2 +5x +4 = 0 using Tartaglia's method.

Advanced functions - Solve x^3 -3x^2 +5x +4 = 0 using Tartaglia's method.

advanced functions - Solve the inequality 12x^3 + 8x^2 <= 3x + 2. Justify ...

Calculus - Equation 1: (d[Y])/dt = k1 - v2[Y]*((ϵ^2+([X]/Kn )^2)/(1+([X]/...

advanced functions grd 12 - im not sure wheer to start and how to do solve this ...