% % Try this file with the various design options: jeopardy,florida,iceland,hornet,qatar, % norway,germany,bahamas,spain % \documentclass[design=norway]{jj_game} \usepackage{amsmath} \usepackage{exerquiz} \usepackage[ImplMulti]{dljslib} \author{D. P. Story} \university{Northwest Florida State College} % % include a standard footer at the bottom of the first page. % \includeFootBanner \titleBanner{Function Jeopardy!} \afterGameBoardInsertion{\medskip\gameboardPrintButton} \GameDesign { Cat: General Functions, Cat: Quadratic Functions, Cat: Polynomial Functions, Cat: Rational Functions, NumQuestions: 3, % Goal: 1,500, % specify absolute goal GoalPercentage: 85, % specify relative goal ExtraHeight: .7in, Champion: You are FuncTerrific!, } \APScore{align: c} \begin{document} \begin{instructions} % % Insert the Instruction page here % \textcolor{red}{\textbf{Extra Credit:}} Before you begin, enter your name in the text field below. After you have finished with \textsf{Function Jeopardy!}, print the next page (the game board page) and turn it in for extra credit. % % We ask for the contestant's name, but this is not enforced % \textcolor{red}{\textbf{Name:}} \underbar{\contestantName{1.5in}{11bp}} \textcolor{blue}{\textbf{Method of Scoring.}} If you answer a question correctly, the dollar value of that question is added to your total. If you miss a question, the dollar value is \textit{subtracted} from your total. So think carefully before you answer! \textcolor{blue}{\textbf{Instructions.}} Solve the problems in any order you wish. If your total at the end is more than \$\Goal, you will be declared \textbf{FuncTerrific}, a master of functions of college algebra! \textcolor{blue}{\textbf{To Begin:}} Go to the next page. \end{instructions} \everymath{\displaystyle} \begin{Questions} \begin{Category}{General Functions} \begin{Question} Given credit for first using the functional notation $f(x)$. \begin{oAnswer} Who is\dots\RespBoxTxt{2}{1}{3}{Leonhard Euler}{L. Euler}{Euler} \end{oAnswer} \end{Question} \begin{Question} Given $ f(x) = \frac{x}{x+2} $, the expression that represents $ f(1/x) $. What is \dots \begin{oAnswer} \begin{equation*} f(2x)=\RespBoxMath{1/(2*x+1)}{4}{.0001}{[1,2]} \end{equation*} \end{oAnswer} \end{Question} \begin{Question}[2] The axis of symmetry of the graph of the function $ f(x) = 2 - ( x + 1 )^2 $. What is \dots \Ans0 the $x$-axis & \Ans0 the $y$-axis \\[1ex] \Ans1 the line $ x = -1 $ & \Ans0 the line $ x = 1 $ \\[1ex] \Ans0 the line $ y = 2 $ & \Ans0 the line $ y = -2 $ \end{Question} \end{Category} \begin{Category}{Quadratic Functions} \begin{Question} The number of zeros of the quadratic function $$ f(x) = x^2 - 2x + 2 $$ What is \dots \Ans1 $0$ \Ans0 $1$ \Ans0 $2$ \Ans0 $3$ \end{Question} \begin{Question} The vertex $V$ of the parabola $ f(x) = 3 - 4x - 4x^2 $. What is \dots \Ans0 $V(1/4, 7/4)$ \Ans0 $V(-1/4, 15/4)$ \Ans0 $V(1/2, 0)$ \Ans1 $V(-1/2,4)$ \Ans0 $V(3/4, -9/4)$ \Ans0 $V(-1/2, 15/4)$ \Ans0 None of these \end{Question} \begin{Question}[4] The price $p$ and the quantity $x$ sold of a certain product obey the demand equation \begin{equation*} p = -\frac{1}{6}x + 100 \end{equation*} Find the quantity $x$ that maximizes revenue. \Ans0 $100$ & \Ans0 $200$ & \Ans1 $300$ & \Ans0 $400$ \\[3ex] \Ans0 $500$ & \Ans0 $600$ & \Ans0 $700$ & \Ans0 $800$ \\[3ex] \Ans0 $900$ & \Ans0 $1000$ & \Ans0 $1100$ & \Ans0 $1200$ \end{Question} \end{Category} \begin{Category}{Polynomial Functions} \begin{Question}[4] The \textbf{end behavior} of the polynomial function \begin{equation*} f(x) = (2x-1)^2 ( x + 3 )^2 ( 3x^3 + 1 )^2 \end{equation*} is like that of what function? What is \dots \Ans0 $y = x$ & \Ans0 $y = x^{2}$ & \Ans0 $y = x^{3}$ & \Ans0 $y = x^{4}$ \\[3ex] \Ans0 $y = x^{5}$ & \Ans0 $y = x^{6}$ & \Ans0 $y = x^{7}$ & \Ans0 $y = x^{8}$ \\[3ex] \Ans0 $y = x^{9}$ & \Ans1 $y = x^{10}$ & \Ans0 $y = x^{11}$ & \Ans0 $y = x^{12}$ \end{Question} \begin{Question} The multiplicity of the zero $ x = 1/2 $ of the polynomial function $ f(x) = x^2 (x - 2 ) (2x - 1 )^3$. What is \dots \Ans0 $1$ \Ans0 $2$ \Ans1 $3$ \Ans0 Don't fool with me, $1/2$ is not a zero of this polynomial! \Ans0 None of these \end{Question} \begin{Question} The number of times the function $$ y = -(x^2 + 0.5)(x-1)^2(x+1)(x-2) $$ touches but \textit{does not cross} the $x$-axis. What is \dots \Ans0 $0$ times \Ans1 $1$ time \Ans0 $2$ times \Ans0 $3$ times \Ans0 $4$ times \end{Question} \end{Category} \begin{Category}{Rational Functions} \begin{Question} For a rational function, when the degree of the numerator is greater than the degree of the denominator, then the $x$-axis is a horizontal asymptote. True or False? \Ans0 True \Ans1 False \end{Question} \begin{Question} The asymptotes for the rational function \begin{equation*} R(x) = \frac{3x^2 -1}{(3x-1)(2x+2)} \end{equation*} What are \dots \Ans0 $ y = 1 $, $ x = -2 $, $ x = 3$ \Ans0 $ y = 1/6 $, $ x = -2 $, $ x = 1/3$ \Ans1 $ y = 1/2 $, $ x = -1 $, $ x = 1/3$ \Ans0 $ y = 1/2 $, $ x = -2 $, $ x = 3$ \Ans0 $ y = 1 $, $ x = 1 $, $ x = 1/3$ \Ans0 $ y = 1/6 $, $ x = -1 $, $ x = 1/3$ \Ans0 None of these \end{Question} \begin{Question} The oblique asymptote of the rational function \begin{equation*} R(x) = \frac{4x^4 - 6x^3 + 5x^2 + x + 4}{2x^3 + 3x} \end{equation*} What is \dots \Ans0 $y = 4$ \Ans0 $y = 2x + 4$ \Ans1 $y = 2x-3$ \Ans0 $y = 4x - 3$ \Ans0 $y = 4x + 4$ \Ans0 $ y = 2x + 3$ \Ans0 $ y = 2x - 4$ \Ans0 None of these \end{Question} \end{Category} \end{Questions} \end{document}