Update of statement:
solve(), roots(), FindRoot() doesn't like if() function.
However, they can solve when cases() used instead of if().

Regards

I have diagnosed the symptoms with solve bug.
Made a page about this and tried to explain with detail.

Regards

somebugs.sm (54.72 KiB) downloaded 535 time(s).
somebugs.pdf (522.2 KiB) downloaded 299 time(s).

Wrote

solve(), roots(), FindRoot() doesn't like if statement.
However, they can solve when cases() used instead of if().

if/else was reported SS 5346.
Davide added if/otherwise SS 6179
Often, the solve bloc is ~ exact, sometimes exact
At worst 4/5 decimals.
Always start true Bolean #≤# ...
often won't complain incomplete #<#
From recollection, only DeBoor needs incomplete.

Wrote

Update of statement:
solve(), roots(), FindRoot() doesn't like if statement.
However, they can solve when cases() used instead of if().

Regards

Here some notes about my opinion of how to work with piecewise continuous functions.

Piecewise.sm (45.64 KiB) downloaded 512 time(s).
Piecewise.pdf (184.98 KiB) downloaded 410 time(s).

Best regards.
Alvaro

IMHO, its logical solving piece wise discontinuous,
solve piece wise as well for productive classroom.

Page3 Solve Discontinuous.sm (5.27 KiB) downloaded 530 time(s).

There are other bugs too.

otherbugs.sm (13.7 KiB) downloaded 531 time(s).