Test tomorrow (HELP!)

[cyrille de brébisson]

Hello,

>I have a test tomorrow and will need to use my HP Prime. I will need to find increasing, decreasing, domain, range, minimum and maximum of functions.

The best would be to enter your function as F1 in the function application.
Then, in the CAS, type F2:=F1'

This gives you the function and it's derivative.

F1 has an extremum where F2 has a 0. so you need to solve for the 0 of the derivative.
Once again, in CAS: solve(F2(x)=0,x) will do that

F1 will GROW where F2 is >0 and decreese where F2 is <0.
Now that you have the roots of F2 (ie, points where it is 0), evaluating F2 in between these points will tell you its sign.

for the domain, well, you need to see where the F1 function is defined. I am not sure that there is a function to do that, but it should be relatively easy.
/ is only defined when the denominator is !=0
log/ln and sqrt when x is >0
^is a little bit more complicted, but since you very rarely have a x on the right side, you do usually not need to worry about that.

Good luck.
Cyrille