Respuesta :
A) t represents time ( in years ) since 2008( 2008 is zero-year)
B) Domain for the square function is x∈R, but for this kind of function there are only positive values. Firs we will find interceptions with x-axis :
[tex] t_{12} = \frac{-b\pm \sqrt{ b^{2}-4ac } }{2a} [/tex]
[tex] t_{12} = \frac{-2.7\pm \sqrt{ 2.7^{2}-4*(-0.32)*253 } }{-0.64} [/tex]
(calculate), t1=-24.22, t2=32.65
Domain for this function is: 0 ≤ t ≤32.65
C) The graph is discrete, because it is only in the first quadrant ( doesn`t have negative values ( i.e. you can`t have -10 bobcats in northern Arizona.
B) Domain for the square function is x∈R, but for this kind of function there are only positive values. Firs we will find interceptions with x-axis :
[tex] t_{12} = \frac{-b\pm \sqrt{ b^{2}-4ac } }{2a} [/tex]
[tex] t_{12} = \frac{-2.7\pm \sqrt{ 2.7^{2}-4*(-0.32)*253 } }{-0.64} [/tex]
(calculate), t1=-24.22, t2=32.65
Domain for this function is: 0 ≤ t ≤32.65
C) The graph is discrete, because it is only in the first quadrant ( doesn`t have negative values ( i.e. you can`t have -10 bobcats in northern Arizona.
1.the number of years since 2008
2.t values greater than or equal to 0
3.negative values
4.discrete,because number of bobcats cannot be broken to fractional parts