Answer:
Here the given function that describes the number of rabbits after x months,
[tex]y = 15 (1.8)^x[/tex]
is an exponential function. ( increasing)
Having the y-intercept = (0,15)
But does not have the x-intercept.
End behaviour :
Since, 1.8 > 1
Thus the end behavior of the the function is,
As [tex]x\rightarrow -\infty[/tex], [tex]f(x)\rightarrow 0[/tex]
And, as [tex]x\rightarrow \infty[/tex], [tex]f(x)\rightarrow \infty[/tex]
Thus, from the above explanation we can plot the graph of the given function.
