Approximate the x-coordinates of all extrema and sketch the graphs showing global and local behavior of the function. y = x^3 - 13x^2 - 10x + 1

Question

anonymous · Answer

@electrokid  can u help?

anonymous · Answer

@Mertsj  can u help?

mertsj · Answer

Did you find the first derivative and set it equal to 0 and solve?

anonymous · Answer

no hold on

anonymous · Answer

Okay so the derivative i got 3x^2 - 26x - 10 and after i set it  equal to 0 i got x = -0.36891, x = 9.0356

mertsj · Answer

So now you can sketch it.  It enters in the third and leaves in the first.  The y intercept is 1.  It has a relative max at -.36 and a relative min at 9

mertsj · Answer

If you want to know how high and low it goes, you would plug those points in and find the y values.  But since it is just a sketch, I wouldn't bother.

anonymous · Answer

okay is this correct? |dw:1365387893937:dw|

mertsj · Answer

Did you forget that the y intercept is 1?

anonymous · Answer

ok

mertsj · Answer

|dw:1365388012547:dw|