The fox population in a certain region has an annual growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 23200 . (a) Find a function that models the population \( t \) years after \( 2000(t=0 \) for 2000). Your answer is \( P(t)=23200 \cdot(1.06)^{t} \) (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)

\( y=\sqrt{\log (x+1)} \quad \operatorname{Domain}(y)= \) ?

The fox population in a certain region has an annual growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 23200 . (a) Find a function that models the population \( t \) years after \( 2000(t=0 \) for 2000). Your answer is \( P(t)=23200 \cdot(1.06)^{t} \) (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)

9. (3 points) What kind of asymptotes(s) does the function \( y=\frac{4 x^{2}+3 x-1}{x^{2}-x}=\frac{(4 x-1)(x+1)}{x(x-1)} \) have? \( \begin{array}{ll}\text { A) Horizontal : } y=4 \text {, Vertical : } x=0, x=1 & \text { (B) Horizontal : } y=0 \text {, Vertical : } x=0, x=1 \\ \text { (C) Slant : } y=4 \text {, Vertical : } x=0 & \text { (D) Slant : } y=4 x-3 \text {, Vertical : } x=1\end{array} \)

Exercice 3 La population d'une ville augmente régulièrement de \( 10 \% \) par an. En 2019 , elle était de 8000 habitants. On désigne par \( \left(u_{n}\right) \) le nombre théorique d'habitants estimé pour l'année \( (2019+n) \). On a donc \( u_{0}=8000 \). 1. Calculer les termes \( u_{1} \), \( u_{2} \) et \( u_{3} \). Détailler les calculs. 2. Ecrire la relation de récurrence reliant les termes \( u_{n+1} \) et \( u_{n} \). 3. En déduire la nature de la suite. 4. A l'aide de la calculatrice, calculer le nombre d'habitants prévus en 2026. 5. A l'aide de la calculatrice, déterminer en quelle année la population aura doublé. Justifier.

\( y = \frac { x } { \log ( [ x ] + 1 ) } \quad \operatorname { Domain } ( y ) = ? \)