List of Example Equations For Problem Solving Software?

[insomicman]

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?

 

[stapel]

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?

 

[Bob Brown MSEE]

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.