--- loncom/html/adm/help/tex/Function_Plot_Response_Evaluation_Rule.tex 2013/06/26 08:14:55 1.6 +++ loncom/html/adm/help/tex/Function_Plot_Response_Evaluation_Rule.tex 2016/08/20 17:48:11 1.7 @@ -3,9 +3,9 @@ Overview - This box is used to create a rule that determines whether or not a submitted graph is correct. In general, it takes the form of testing the function, its integral, or its first or second derivative over a given set of x-values. The test can be to see if it equals, is greater than, or less than a specified value. Anywhere a number is needed, a variable can also be used. (Skip to the bottom for examples of rules.) \begin{itemize} -\item ``Index/Name" - This is an internal label for the rule. Something must be entered here, and it must be different for each rule. This same value will be used to add a conditional hint. +\item ``Index/Name'' - This is an internal label for the rule. Something must be entered here, and it must be different for each rule. This same value will be used to add a conditional hint. -\item ``Function" - This determines what the server will be testing. For instance, choose 'First derivative' causes the server to evaluate the derivative of the entered answer over the given domain. +\item ``Function'' - This determines what the server will be testing. For instance, choose `First derivative' causes the server to evaluate the derivative of the entered answer over the given domain. \item ``Initial x-value'' and ``Initial x-value label'' - A value must be entered for one of these. Either choose a numerical value for x (the first option), or choose the beginning of the submitted answer, the end, or a previously chosen named point (see below). @@ -17,7 +17,7 @@ Overview - This box is used to create a \item ``Relationship'' - The heart of the rule. This choice determines whether the chosen `Function' is greater than, less than, equal to, etc. a certain `Value'. -\item ``Value'' - Enter the number you wish to compare to. It is also possible to choose 'not defined', in the event the answer should not have a value for the given domain. Within the value argument, the function itself can be evaluated using \&fpr\_f(), its derivative using \&fpr\_dfdx(), and its second derivative using \&fpr\_d2fdx2(). This allows for a comparison of two points on the graph. The value of a previously defined label can be retrieved using the function \&fpr\_val(), e.g., \&fpr\_val(`positive'). Previous defined values from script blocks can also be retrieved as normal variables, e.g., \$x. +\item ``Value'' - Enter the number you wish to compare to. It is also possible to choose `not defined', in the event the answer should not have a value for the given domain. Within the value argument, the function itself can be evaluated using \&fpr\_f(), its derivative using \&fpr\_dfdx(), and its second derivative using \&fpr\_d2fdx2(). This allows for a comparison of two points on the graph. The value of a previously defined label can be retrieved using the function \&fpr\_val(), e.g., \&fpr\_val(`positive'). Previous defined values from script blocks can also be retrieved as normal variables, e.g., \$x. \item ``Percent error'' - This allows for a margin of error in the y-direction. For instance, if the rule requires that the derivative be equal to 5, the server will accept values close enough to 5 that are within the percent error defined here. Note: Choosing 10\% would not mean that the answer is correct as long as it is within the range 4.5-5.5. Instead, the percent corresponds to the total size of the graph. For the function itself, the `percent error' is multiplied by the ymax-ymin; for the first derivative, it's multiplied by (ymax-ymin)/(xmax-xmin); for the second derivative, it's multiplied by (ymax-ymin)/(xmax-xmin)$^2$; and for the integral, it's multiplied by (ymax-ymin)*(xmax-xmin). \end{itemize} @@ -32,7 +32,7 @@ The figure below shows some examples of \item Checks that the second derivative at $x=$\$time1 is $0$. -\item Checks that the value of the function $>7$ from ``Start of Graph" to $x=5$. +\item Checks that the value of the function $>7$ from ``Start of Graph'' to $x=5$. \item Checks that the function is $0$ from $x=0$ until the function is no longer $0$, labeling this new point `notzero'.