I used the functiony=(x2+1)x2 as an example to model population growth with x equaling a specified amount fo time.

I found the antiderivative of the derivative function which is x2+11+C.

Finding that C=2 when determining a value twice the amount of the original function.

whenA(x)=x2+11+2 the y intercept equals 1 or y=1.

As x,A(x)=2 and y=1.

How is the y intercept, y=1, and the end behavior of the antiderivative,A(x)=2 as x, explained as it relates to the application of population growth in my original function?