What is the resulting figure called when describing the equation yz=4 in R^3?

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navalava
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Homework Statement


Describe and sketch the surface in R^3:
yz=4


Homework Equations





The Attempt at a Solution


So y= 4/z and z=4/y, and in 3-d that becomes two hyperboloids of one sheet...how do i connect them and what is the resulting figure called? I really appreciate the help!
 
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You are correct in that you get two pieces, but they are not hyperboloids (those types of surfaces require two of the perpendicular cross-sections to be hyperbolas). Since this has the same cross-section for all values of x , the best name for it might be a "hyperbolic cylinder". (And the two parts won't be connected.)