We have the following function:
[tex]\mleft(\mright)=\mleft(-312\mright)^3\mleft(+8900\mright)\mleft(-40800\mright)^2[/tex]
as we can note the factor (x-40800) has a degree of 2, this means that the graph bounces off the x-axis
In other words, at x=40800 the graph of f(x) is tangent to the x-axis.
On the other hand, the total degree of the function f(x) is equal to 1+3+1+2=7 and the leading coefficient is positive, then f(x) has the following behavior:
[tex]f(x)\approx x^7+.\ldots[/tex]
Then, function f(x) raises up as x becomes larger and falls as x becomes smaller:
