Describe the domain and range of the function:

g(x,y) = y / (squarert of x)

Question

Describe the domain and range of the function: 

g(x,y) = y / (squarert of x)

anonymous · Answer

$$g(x,y)=y/\sqrt{x}$$

anonymous · Answer

For the domain, the answer would be x >0 right?

anonymous · Answer

and the range would be all real numbers for y?

amistre64 · Answer

domain is the anding of teh x and y parts

Dy = all reals
Dx = greater than 0

so the right portion up to but not including the y axis (the x=0 axis)

amistre64 · Answer

range is then the z axis

amistre64 · Answer

|dw:1331214139820:dw|

amistre64 · Answer

|dw:1331214172866:dw|

amistre64 · Answer

your range is not restricted by anything; the y up top makes it + or -

and the bottom is any real number as well so we dont really go bad in it

amistre64 · Answer

the result that is :)

amistre64 · Answer

$$Z_r:\frac{Y_r=(-inf,inf)}{X_r=(0,inf)}=(-inf,inf)$$

anonymous · Answer

^Is that answer for the range or the domain, or both?

amistre64 · Answer

the domain is the area of the xy plane; D = {(x,y) | x>0 and yeR}

the range is all possible results from as a result of the domain

it just so happens that f: D -> R is pretty much unrestricted along the z axis

amistre64 · Answer

http://www.wolframalpha.com/input/?i=f%28x%2Cy%29%3Dy%2Fsqrt%28x%29

amistre64 · Answer

http://web.monroecc.edu/manila/webfiles/calcNSF/JavaCode/CalcPlot3D.htm this gives a neater pcture of it