Select all equations that represent y as a function of x . 8x + y2 = 3 , 8xy = 3 , x = y3 , x = √ 8 + y2 , y = 8x2

Question

Select all equations that represent   y   as a function of   x  .   8x + y2 = 3  ,   8xy = 3   ,  x = y3  ,   x = √ 8 + y2   ,  y = 8x2

Raymond B. · Accepted Answer

8x + y^2 = 3 is Not a function. It fails the vertical line test

8xy=3 is a function of x, it's a rectangular hyperbola, similar to y = 1/x

x=y^3 is a function, It's the inverse of y=x^3 another function

x=sqr(8 + y^2) is not a function. It fails the vertical line test

y = 8x^2 is a function. It's an upward opening parabola

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