Friday

July 25, 2014

July 25, 2014

Posted by **leighton** on Thursday, December 2, 2010 at 5:37pm.

- bus. calculus -
**MathMate**, Thursday, December 2, 2010 at 6:46pmIncreaseing and decreasing intervals end at extrema (maximum or minimum) or at infinity.

It would make it easy to first find f'(x), equate it to zero to find the values of x at which the extrema occur.

So

f(x)=(x-3)(x²-6x-3)

=x³-9x²+15x+9

f'(x)=3x²-18x+15

Set f'(x)=0 and solve for x to get x=5 or x=1.

The leading term of f(x) is x³, and its coefficient is positive, we know that f(x)->∞ as x->&infin, and similarly, f(x)->-∞ as x-> -∞.

All that is left to do is to figure out the intervals, and find if they are increasing or decreasing.

**Related Questions**

calculus help - Produce graphs of f that reveal all the important aspects of the...

Calculus - Consider the function f (x) = 2x^3 - 3x^2 - 72x + 7 Find and classify...

Calculus - Graph the following function. Find and state the domain, intercepts, ...

Calculus - please help - Can someone please do these questions step by step and ...

Finance - ____ in the beta coefficient normally causes____ in the required ...

calculus - Given the function g(x)= (3x) / (2+5x^2 ) find its region of ...

college algebra - F(X)= -3x^2 -30x-70 what is the vertex what is the axsis of ...

Calculus - Find the intervals of increase and decrease for the following ...

Calculus - Could someone help me setup an equation for this equation...

Calculus - Find the intervals of increase and decrease for the following ...