2. \( y=\left\{\begin{array}{ll}1, & \text { if } 0 \leq x<3 \\ 0, & \text { if } 3 \leq x<6 \\ -1, & \text { if } 6 \leq x<9 \\ -2, & \text { if } 9 \leq x<12\end{array}\right. \)

domínio \( \frac{\arcsin (-x-4)}{\sqrt{-x}-2} \)

Which of the following is an approximation to six decimal places for \( \log _{8} 634 \) ? (1 point) 3.102780 2.802089 6.452049 1.898999

The rat population in a major metropolitan city is given by the formula \( n(t)=29 e^{0.01 t} \) where \( t \) is measured in years since 1994 and \( n \) is measured in thousands. (a) What was the rat population in 1994? (b) What is the rat population going to be in the year 2009?

Both of these functions grow as \( x \) gets larger and larger. Which function eventually exceeds the other? \[ f(x)=6 x-4 \] \( g(x)=\left(\frac{9}{5}\right)^{x} \)

Given an equation for a hyperbola, write the asymptotes and graph the equation. \( \frac{(y+3)^{2}}{4}-\frac{(x+5)^{2}}{9}=1 \) Positive-slope asymptote: Negative-slope asymptote: