Which graph shows the function \( y=\left(\frac{1}{3}\right) 3^{x} ? \)

Find the vertical asymptotes, if any, and the values of \( x \) corresponding to holes, if any, of the graph of the rational function. \( h(x)=\frac{x+3}{x(x-2)} \) A. The vertical asymptote(s) is(are) \( \square \) and hole(s) corresponding to \( \square \) a comma to separate answers as needed.) B. The vertical asymptote(s) is(are) \( \square \). There are no holes. C. There are no vertical asymptotes but there is(are) hole(s) corresponding to \( \square \). D. There are no discontinuities.

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

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

UESTION 3 On the interval \( [-2,3] \), the maximum vertical distance between the line \( y=x+6 \) and the parabola \( y=x^{2} \) is equal to

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