(a) \( 3+\frac{3}{4}+\frac{3}{16}+\frac{3}{64}+\ldots+\frac{3}{4^{k}}+\ldots \) is convergent. (b) \( 25-5+1-\frac{1}{5}+\ldots+\frac{(-1)^{k} 25}{5^{k}}+\ldots \) is convergent. (c) \( 4+9+\frac{81}{4}+\frac{729}{16}+\ldots+4\left(\frac{9}{4}\right)^{k}+\ldots \) is divergent. (d) \( 1-\frac{3}{5}+\frac{9}{25}-\frac{27}{125}+\ldots+\left(\frac{-3}{5}\right)^{k}+\ldots \) is \( \square \)

\( g(x)=-2 x^{2}-4 x-1 \) 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? \( x=\square \)

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? \( \$ \)

Find the range of the quadratic function. \[ y=x^{2}+8 x+18 \]

3. \( f(x)=10^{\sqrt{x}} \)

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