A baseball team plays in a stadium that holds 48000 spectators. With the ticket price at \( \$ 11 \) the average attendance has been 19000 . When the price dropped to \( \$ 8 \), the average attendance rose to 24000 . Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? \( \$ \)

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. \( \sinh (x)=\frac{5}{4} \) \( \tanh (x)= \) \( \operatorname{csch}(x)= \) \( \operatorname{sech}(x)= \) \( \operatorname{coth}(x)= \)

The range of the function \( f(x)=4 \tan ^{-1}\left(\frac{x}{2}\right) \) is

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