SOLUTION: I need your help on graphing f(x)=log(x+4)and finding its ;transformation,asympote,y-intersept,domain and range.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I need your help on graphing f(x)=log(x+4)and finding its ;transformation,asympote,y-intersept,domain and range.       Log On


   

Question 968886: I need your help on
graphing f(x)=log(x+4)and finding its ;transformation,asympote,y-intersept,domain and range.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You have to realize that you cannot have
log( minus # ), like say, +log%28%28+-1+%29%29+.
There is no log to a positive base ( like 10 here )
which can possibly give you a negative result.
----------------------------------------
That means +x+=+-4+ is OK, but +x+%3C+-4+
is not possible, so
+x+%3E=+-4+ and +x+=+-4+ is an asymptote
-----------------------------------------
+f%28x%29+ can have any + or - value, since logs
can have any value + or -
----------------------------
Domain is +x+%3E=+-4+
range is + to - infinity
----------------------
Here's the plot:
+graph%28+400%2C+400%2C+-5%2C+5%2C+-5%2C+5%2C+log%28+10%2C+x%2B4+%29+%29+