\( g(x)=-2 x^{2}-4 x-1 \) Does the function have a minimum or maximum value? What is the function's minimum or maximum value? Where does the minimum or maximum value occur? \( x=\square \)

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

Use the value of the given hyperbolic function to find the values of the other hyperbolic functions. \( \sinh (x)=\frac{5}{4} \) \( \tanh (x)= \) \( \operatorname{csch}(x)= \) \( \operatorname{sech}(x)= \) \( \operatorname{coth}(x)= \)

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

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

\( f(x)=\frac{12 x}{7 x^{2}+9} \) Find the horizontal asymptote, if any, of the graph of the rational function. A. The horizontal asymptote is \( \square \). (Type an equation.) B. There is no horizontal asymptote.