SOLUTION: which of the following relations are functions? a. {children}-{stuffed aninals} b. f(x)=sqrt(x^2+3) c.h(x)=1/x^2 d.x=3 e.x^2+y^2=5 f.{(2,3),(3,4),(4,4),(5,6)}

Algebra ->  Functions -> SOLUTION: which of the following relations are functions? a. {children}-{stuffed aninals} b. f(x)=sqrt(x^2+3) c.h(x)=1/x^2 d.x=3 e.x^2+y^2=5 f.{(2,3),(3,4),(4,4),(5,6)}      Log On


   



Question 1158431: which of the following relations are functions?
a. {children}-{stuffed aninals}
b. f(x)=sqrt(x^2+3)
c.h(x)=1/x^2
d.x=3
e.x^2+y^2=5
f.{(2,3),(3,4),(4,4),(5,6)}

Answer by KMST(5385) About Me  (Show Source):
You can put this solution on YOUR website!
The following are functions of x, because to every x in the domain there i just one value assigned in to the other variable:
b. f(x)=sqrt(x^2+3)
c.h(x)=1/x^2
d.x=3
f.{(2,3),(3,4),(4,4),(5,6)}

The relation a. between children and stuffed animals is probably understood as not a function, because if I ask what stuffed animal belongs to Susie, , there may be more than one.
The relation e.x^2+y^2=5 graphs as a circle of radius sqrt%285%29 , centered at the origin, but it is not a function, because for every value of x, except x=sqrt%285%29 and x=-sqrt%285%29 there are two values of y.