List of Example Equations For Problem Solving Software?

insomicman

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Joined
Oct 6, 2015
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I'm currently working on an application for a class that will calculate:

Intercepts
Critical points
Inflection points
Asymptotes

for an equation entered in by a user. So far, the following types are allowed to be entered:

Numbers (Both integer and decimal)
Addition/Subtraction
Multiplication/Division
Variable X (only one variable so far)
Powers (Though a^x not currently allowed)
Parentheses

I'm looking for a list of possible equations (f(x) = ...) using combinations of those inputs to test and try to "break" the program so I can try to fix those instances. For example, dividing by 0 currently gives an error. Could anyone provide or point me to a list of equations, particularly difficult to solve ones, I can use to help me spot anything I might not have thought of?
 
I'm currently working on an application for a class that will calculate:

Intercepts
Critical points
Inflection points
Asymptotes

for an equation entered in by a user. So far, the following types are allowed to be entered:

Numbers (Both integer and decimal)
Addition/Subtraction
Multiplication/Division
Variable X (only one variable so far)
Powers (Though a^x not currently allowed)
Parentheses

I'm looking for a list of possible equations (f(x) = ...) using combinations of those inputs to test and try to "break" the program so I can try to fix those instances. For example, dividing by 0 currently gives an error. Could anyone provide or point me to a list of equations, particularly difficult to solve ones, I can use to help me spot anything I might not have thought of?
I would suspect that the program would more likely be broken by wrong inputs, rather than complicated ones. For instance, what happens if the user doesn't enter a function (perhaps just an expression) or formats the function poorly (like having unbalanced parentheses)? How does your program deal with that sort of thing?
 
I'm currently working on an application for a class that will calculate:

Intercepts
Critical points
Inflection points
Asymptotes

for an equation entered in by a user. So far, the following types are allowed to be entered:

Numbers (Both integer and decimal)
Addition/Subtraction
Multiplication/Division
Variable X (only one variable so far)
Powers (Though a^x not currently allowed)
Parentheses

I'm looking for a list of possible equations (f(x) = ...) using combinations of those inputs to test and try to "break" the program so I can try to fix those instances. For example, dividing by 0 currently gives an error. Could anyone provide or point me to a list of equations, particularly difficult to solve ones, I can use to help me spot anything I might not have thought of?
Watch out for anomalies like inflection points that don't exist.
For example (xxxx-4xxx+16x-16)/(x-2) has an inflection point at (x,y) = (2, 0) but that point is not on the function.
 
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