SOLUTION: y2=7-x2 is this an function

Algebra.Com
Question 227127: y2=7-x2 is this an function
Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!
y^2 = 7-x^2
.
x^2 +y^2 =7
.
This is a circle, center at origin,,(0,0), and radius sqrt 7
.
To be a function, there can be only one value of y for each x value, not so in this case.
.
The other test for a function is the vertical line test,,,when moving a vertical line along the x axis, it should intersect only one value of y,,,,again not so in this case
.
Therefore, we have a relationship, not a function.

RELATED QUESTIONS

x2+y2+4x-6y=11 is this an... (answered by jsmallt9)
Determine what is wrong with the following simplification. x2 + y2 --------- =... (answered by mananth)
Write an equation of a circle with center at the origin and radius 6. This is what I... (answered by Alan3354)
Which of the following relationships is a function? y2=x2-3x+4... (answered by Fombitz)
Please give an equation of a nonlinear function and provide two inputs. Example:... (answered by Alan3354)
X2+Y2=25 Is solving this problem considered a function? How do I plot a graph using... (answered by Fombitz)
please help me solve this proof The formula learned for slope is m= y2-y1/x2-x1. use an... (answered by Alan3354)
Write an equation in slope-intercept form of the line through points S(3,-4) and T(8,3)... (answered by ReadingBoosters,stanbon)
is this a quadratic function y = x2 – 3x – 10 (answered by oberobic)