Grafique la función por partes, realice la tabulación respectiva \( y \) determine el limite de la función. (3 Ptos) \[ f(x)=\left\{\begin{array}{ll}x & x<2 \\ x+1 & x \geq 2\end{array}\right. \]

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? \( \begin{array}{ll}\text { A) Horizontal : } y=4 \text {, Vertical : } x=0, x=1 & \text { (B) Horizontal : } y=0 \text {, Vertical : } x=0, x=1 \\ \text { (C) Slant : } y=4 \text {, Vertical : } x=0 & \text { (D) Slant : } y=4 x-3 \text {, Vertical : } x=1\end{array} \)

Convert the point with polar coordinates \( \left(2, \frac{5 \pi}{6}\right) \) to Cartesian coordinates. Enter exact values. The point is: Get help: Video

Convert the polar coordinate \( \left(2, \frac{5 \pi}{6}\right) \) to Cartesian coordinates. \( \mathrm{x}=\square \) Preview \( \mathrm{y}=\square \) Preview

Convert the Cartesian coordinate (2,5) to polar coordinates, \( 0 \leq \theta<2 \pi \) \( r=\square \) Preview Give the exact value for \( r \). \( \begin{array}{l}\text { Give } \theta \text { accurate to } 3 \text { decimal places. } \\ \text { Get help: Worked Example } 1\end{array} \)