g(x) = x^3 + 6x^2 + 6x - 4

g(x) = x3 + 6x2 + 6x - 4 

y = g(-6) = (-6)3 + 6(-6)2 + 6(-6) - 4
y = g(-6) = -216 + 6(36) - 36 - 4
y = g(-6) = -216 + 216 - 40 
y = g(-6) = 0 - 40
y = g(-6) = -40  

y = g(-5) = (-5)3 + 6(-5)2 + 6(-5) - 4
y = g(-6) = -125 + 6(25) - 30 - 4
y = g(-6) = -125 + 150 - 34 
y = g(-6) = 25 - 34
y = g(-6) = -9

Do that also with x = -5,-4,-3,-2, -1, 0, 1, and 2
and make this table:

 x |y=h(x)     point
---------------------
-6 | 40       (-6,-40)   <-- too high to plot
-5 | -9       (-5,-9)
-4 | -6       (-4,__)
-3 | __       (-3,__) 
-2 | __       (-2,__)
-1 | __       (-1,__)
 0 | __        (0,__)   
 1 | __        (1,9)  
 2 | __        (2,40)   <-- too high to plot.

Then plot them and draw a smooth curve through them and
do it exactly like this one:

http://www.algebra.com/tutors/students/your-answer.mpl?question=1037013

The curve looks like this:



Edwin
 

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