Draw a graph of \( f(x)=\frac{3 x+6}{x+1} \)

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

Find any vertical asymptotes. \( h(x)=\frac{(x-3)(x+6)}{x^{2}-4} \)

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.

Evaluate the function. If the value is not a rational number, round your answer to three decimal places. (a) \( \sinh (1)=\square \) (b) \( \tanh (-8)=\square \)

Graph the rational function. \( f(x)=\frac{-4 x^{2}+12 x+12}{6 x+9} \) Start by drawing the asymptotes. Then plot two points on each piece of the grap