Find the domain of 1 \( f(x)=\frac{x-6}{x^{2}+5 x} \)

Evaluate the function. If the value is not a rational number, round your answer to three decimal places. (a) \( \operatorname{csch}^{-1}(3) \) (b) \( \operatorname{coth}^{-1}(6) \)

Suppose that the function \( f \) is defined for all real numbers as follows. \[ f(x)=\left\{\begin{array}{ccc}6 & \text { if } & x<-4 \\ -10+x^{2} & \text { if } & -4 \leq x<4 \\ 2 x-2 & \text { if } & x \geq 4\end{array}\right. \] Graph the function \( f \). Then determine whether or not the function is continuous.

An equation for the slant asymptote for the graph of the function \( f(x)=\frac{2 x^{2}-x+3}{x+4} \) is

2. \( f(x)=-(x-3)^{2}-1 \)

If \( f(x)=3^{x^{2}-4}+4 \), what is the value of \( f(-3) \), to the nearest thousandth (if necessary)?