Examples for plot functions¶

\begin{question}
      \text{Determine the gradient of the function with the following graph\\
           (respectively the slope of the straight line):}
      \type{input.number}
      \field{real}
      \explanation{This explains everything in case of wrong answer...} %%only for correction

      \begin{variables}   
            \function{f}{0.5x+2}    % defines a function named f
            \number{result}{0.5}
      \end{variables}

      \plotF{1}{f} % First entry labels the plots, second entry for the function to be plotted.  
      \plotFrom{1}{-3.0} % Domain of definition of function
      \plotTo{1}{3.0}
      \plotColor{1}{red}

      \plotLeft{-4}        %%defines the range of the coordinate system.
      \plotRight{4}        %%
      \plotSize{250}       %%function plot canvas has size 250x250, default is 300x300

      \begin{answer}
            \text{Gradient:}
            \solution{result}
      \end{answer}                    
\end{question}

\begin{question}
      \text{Identify the functions by their graphs?}
      \type{mc.yesno}
      \field{rational}
      \explanation{This explains everything in case of wrong answer...} %%only for correction

      \begin{variables}   
           \function{f}{0.5x+2}    % defines a function named f
           \function{f_sin}{sin(x)}
           \function{f_cos}{cos(x)}
      \end{variables}

      \plotF{1}{f_sin}
      \plotFrom{1}{-4 }
      \plotTo{1}{4}
      \plotColor{1}{red}

      \plotF{2}{f_cos}
      \plotFrom{2}{-3}
      \plotTo{2}{3}
      \plotColor{2}{blue}

      \plotLeft{-4.5}        %%defines the canvas bound left
      \plotRight{4.5}        %%and right
      \plotSize{250}        %%function plot canvas has size 250x250 instead of default 300x300

      \begin{choice}
            \text{blue curve is graph of sin(x)}
            \solution{false}
      \end{choice}

      \begin{choice}
            \text{blue curve is graph of cos(x)}
            \solution{true}
      \end{choice}

      \begin{choice}
            \text{red curve is graph of sin(x)}
            \solution{true}
      \end{choice}

      \begin{choice}
            \text{red curve is graph of cos(x)}
            \solution{false}
      \end{choice}            
\end{question}

\begin{question}
      \begin{variables}   
            \function{g}{x/|x|}
            \function{h}{0}
      \end{variables}

      \text{Consider the function g defined by g(x) = $g$ for x \ne 0, and g(0)= 0. Is g continuous?}
      \type{yesno}
      \field{rational}
      \explanation{This explains everything in case of wrong answer...} %%only for correction

      \plotF{1}{g}
      \plotFrom{1}{-10 }
      \plotTo{1}{10}
      \plotColor{1}{black}

      \plotF{2}{h}
      \plotFrom{2}{-0.01 }
      \plotTo{2}{0.01}
      \plotColor{2}{black}

      \plotLeft{-10}        %%defines the canvas bound left
      \plotRight{10}        %%and right
      \plotSize{200}        %%function plot canvas has size 200x200 instead of default 300x300

      \begin{choice}
            \text{Yes or no?}
            \solution{false}
      \end{choice}                    
\end{question}