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Evaluation type: eval rational function & fb rational function
Evaluation type: eval rational function & fb rational function

Everything you need to know about the evaluation types: eval rational function and fb rational function

Updated over a week ago

The evaluation type eval rational function can be used to check (multivariate) rational functions. It does not have automated feedback itself, but instead the evaluation type fb rational function can be used to give automated (positive or negative) feedback on the student’s answer.

The Definition field of this evaluation type should have a (multivariate) rational function.

Example:

When this evaluation type is used in a Solution rule, the evaluation type fb rational function can be used in positive or negative feedback to give automated feedback on the student’s answer.

### Evaluation type: fb rational function

This evaluation type can only be used in (positive and negative) feedback when a solution rule is defined that uses eval rational function. The Definition field should contain the name of the desired form of the rational function. The possible forms are:

• `basic`

Use this if the student’s rational function can only contain the operators plus, minus, times, divide, and power (but only to integer exponents) and there are no further restrictions on the form of the rational function.

• `combined`
Use this if the student’s rational function should be a quotient of two polynomials P and Q, so P/Q, such that P and Q are coprime.

• `quotient`
Use this if the student’s rational function should be a quotient of two polynomials P and Q, so P/Q, where P and Q are not necessarily coprime.

### Examples of feedback

Examples of automated feedback that is given by fb rational function (depending on the form that you choose) are:

• You can decrease the degree of the numerator and denominator.

• You can combine some terms.

• Expand the brackets.

• The degree of the numerator/denominator is not correct.

• According to your answer, the value of the function at x=1 is ⅓, but it should be ⅔.

• etc.

Some concrete examples are given below. The solution rule that is used for these examples is:

Example 1 (`basic`, negative feedback):

Example 2 (`combined`, positive feedback):

### More on evaluation types

An overview of all evaluation types can be found here (for mathematical answers) and here (for text-based answers). More detail on the different fields of a feedback rule can be found here.