Question

How do you trace the graph of:
y=ln(sinx+3)

Answer 1

graphing calculator

Answer 2

I know I can use that. But I need to understand how to do it myself. In my next exam I won't be using a calculator xD

Answer 3

-1<=sin x<=1
2<=3+sin x<=4
ln2 <=ln(3+sinx)<=ln4

Answer 4

Thank you very much!

Answer 5

You could take the derivative, set that equal to zero and find where the max and mins occur. Then make an educated guess since you know how log behaves between 2 and 4.

Answer 6

if you know derivation
you can calculate derivative of function
and find the roots of f'=0
then sign of f'
then with table of f',f graph the function

Answer 7

Isn't there an easier method? I'm asking that because I still have to do derivation ç.ç

Answer 8

No, there is no other way. You can either graphing or, as other suggested, use calculus. This kind of function isn't your typical well known functions like quadratic, exponent, sinx, cosx, etc... which we know the shape of. Unless you have memorized the shape of the family function of ln(k + sinx), but i doubt it.

Answer 9

Ok, i understand. Thank you again for helping me out!