Characteristics of y=tan(x)
I need to state domain, range, period, vertical asymptotes, zeros, symmetry and y-intercept of y = -2tan (3x + 180) +3.
I just finished doing the same for y = sin(x) and y=cos(x) and I know these shouldn't be much harder, but I'm having difficulty figuring out how to find the domain and range to begin with.
I know that it needs to be factored first:
y = -2tan (3x + 180) +3
y = -2tan (3 (x + 60)) + 3
y = -2tan (3 (x - (-60))) + 3
I know that -2 is the vertical stretch and also tells me that the function is reflected in the x-axis. I know that the 3 means that it is compressed horizontally by a factor of 1/3. I believe the 60 means that it is shifted 60 degrees to the right. I also know that the last 3 means that it has been shifted three units up.
From here, I'm not sure what to do though...
Re: Characteristics of y=tan(x)
The period of tan(A) is 180 degrees. So tan(A + 180) = tan(A).
Originally Posted by starshine84