what is the range of the function with the following rale? \( \quad f(x)=3^{[x]-x} \)

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

رسم منحنى للدالة الأسية \( g(x) = 4^x \). ماذا يحدث للمنحنى عندما نقوم بزيادة قيم \( x \)؟

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)

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

NOW TRY EXERCISE 7 Graph each function, and give its domain and range. (a) \( f(x)=\sqrt{x+1} \)