# Thread: Graphing a function domain and range

1. ## Graphing a function domain and range

Hey guys, I have a couple problems I need some help with.

I am looking for the domain and range for the functions:
$f(x) = 4sin(3x+pi/2)+2$
and
$f(x) = 2tan(3pi/2 * x)$

Thanks guys.

2. $f(x) = 4sin(3x+pi/2)+2$

The domain here is obviously every value of x that does not cause the expression $(3x+\frac{\pi}{2})$ to become any integral value of $\frac{\pi}{2}$. Right?

3. [quote=trigcalc4;318383]Hey guys, I have a couple problems I need some help with.

I am looking for the domain and range for the functions:
$f(x) = 4sin(3x+pi/2)+2$

Domain is all values of x, and range is y bigger than or equal to -2, but less than or equal to 6

$f(x) = 2tan(3pi/2 * x)$

range is all values of y and domain is all values of x, except for 1/3,1,5/3,.... and -1/3,-1.-5/3.. etc

Hope this helps!!!