X^2+y^2=36 is a function or not .why?
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Answer:
No
Step-by-step explanation:
A function is a relation between sets that associates to every element of a first set exactly one element of the second set.
i.e for a particular value of X there should be only one value of y.
Graphically, no vertical line should cut the graph twice.
x²+y² = 36
this is not a function.
for X=0 , y = +6,-6
for X=1, y = √35,-√35
i.e. for every X we R getting two values of y. so this is not a function.
graphically, this is a equation of circle, there are many vertical lines which will cut the graph twice....
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