This is relationship is an inverse variation. In this relationship the product of x and y always equals a constant. In this case the product is 8. i.e. xy = 8.
when we compare the values from the given table x is increasing and y is decreasing hence we can see it is an inverse variation.
In option B difference among all consecutive values of x is 2 but in y it is not same among all consecutive terms. In linear function change in y over change in x must be same.
In option C x is increasing but y is decreasing which is violating the property of logarithmic function. In logarithmic function if x increases then y should increase.
In option D first value of x is 2 following quadratic property meaning giving square of itself in y which is 4. But not all values of y are square of x except first value. In quadratic function value of y should be square of x.
