Is y^8=3x-7 a function of x

If y⁸ is a function of x, that means that there cannot be more than one y value for each x value. You can test this by either doing the vertical line test, which requires you to graph the equation. To do this test, draw an imaginary vertical line anywhere on the graph. If the line crosses the curve at more than one place, it is not a function. Based on the graph (see below), this equation is a function of x.