What type of function is f (x)

see below.

Step-by-step explanation:

f(x) = 5/x

1.a)   f(x) is  not linear,   it should be a hyperbola.  Since there are asymptotes , a center point,  Foci, etc.   but it is not the usual hyperbola s in  

y^2/b^2 - x^2/a^2 = 1

b.) asymptotes:   x = 0  and  y = 0

Vertical Asymptote :  x = 0

Horizontal Asymptote:  y =0

c.)  Domain:  (-infinity, 0)  U (0, + infinity)

   Range : (- infinity, 0 ) U (0, + infinity)

d.)  End behavior of f(x) is  y = 0  as  x gets very large   f(x) approaches ZERO

e.)  f(x)  exists in quadrants  1  and 3  only .