It can, but only if the line drawn is a curve. ---------------------------------------------------------------------------------- The function is a polynomial of the form: y = f(x) = a{0} + aâ‚x + aâ‚‚x² + a₃x³ + ...... a{n}xâ¿ = Σa{i}xâ± for i = 0, 1, 2, 3, ..., n (Note a{r} is my way of writing "a subscript r", eg a{1} = aâ‚, and each a{n} is the coefficient of the xâ¿ term.) The x-intercept is where y = 0 and there are n values of x for which the polynomial's value is 0 (some of which may be complex values, eg f(x) = x² + 1 has solutions for f(x) = 0 where x = ±i). However to be a function there must only be one y value for each x value (there can be more than one instance of any y value, ie there can be more than one x value that have the same y value, eg y = x² has y = 4 for x = ±2). Thus there will only be one y value for x = 0, ie only one y-intecept.