Graph Relations and Functions

Draw\ the\ graph\ of\ y=x^{3}-3x^{2}-x+3

 

P(x) hax … Odd degree Even degree
Leading coefficient

a > 0

Leading coefficient

a < 0

 

 

 

end behavior:

Leading coefficient = 1

degree = 3

 

 

 

 

 

x y
-3 -48
-2 -15
-1 0
0 3
1 0
2 -3
3 0

 

y=(-3)^{3}-3(-3)^{2}--3+3=-27-27+3+3=-48

y=(-2)^{3}-3(-2)^{2}--2+3=-8-12+2+3=-15