Intercepts
Find the x- andy-intercepts of the graph of y = x³ – 4x.
To determine the x-intercepts, let y = 0 and solve for x:
0=x^{3}-4x=x(x-2)(x+2)\ .
Hence, the x-intercepts are (0,0), (2,0), and (-2,0). To determine the y-intercepts, let x = 0 and solve for y.
In this case, you obtain (0,0).