Posted by danny on .
Let f(x)=x^4+2x^37x^28x+12.
A.) Discuss the short run behavior of
f(x).
B.) Discuss the long run behavior of
f(x).

algebra 
drwls,
A) When x = 0, f(x) = 12.
The function probably crosses the x axis a few times. It is 0 when x = 1
B) As x > + or minus infinity, f(x) goes to infinity and becomes more symmetrical about the y axis, dominated by the x^4 term.