What is y=x^3 graph is like?
1. The graph is symmetric to the origin. You know this because you can substitute both -x and -y into the equation and it will yield the exact same equation. (Symmetry to the x-axis substitutes -y into the equation, which changes the overall equation. Symmetry to the y-axis substitutes -x into the equation, which also changes the overall equation. Therefore those two symmetries are incorrect.) 2. To find the roots set x=0 in the equation. So the only root is at y=0. 3. A turning point is a point where values approach that given point from both sides with opposite slopes. This is easier to understand when thinking about a graph that has what looks like hills and valleys. The point at the very top of a hill or very bottom of a valley is called a turning point (also called a maximum and minimum). Since we are looking at the standard version of the graph y=x^3, there are no hills or valleys present (a nonstandard version of the cubic can have a maximum of two turning points). Therefore, th
