Final answer:
The solution to the equation y=x^3-2x includes the point (0,0), among others. Solutions can be found by substituting values for 'x' and solving for 'y', or setting y=0 and solving for 'x' to find x-intercepts.
Step-by-step explanation:
The question asks which point is a solution to the equation y=x^3-2x. To find a solution, we can pick a value for 'x', plug it into the equation, and solve for 'y'. For example, if we let x = 0, we plug it into the equation to get y = (0)^3 - 2(0) = 0. Therefore, the point (0,0) is a solution to the equation where both x and y are zero. Another approach is to set y = 0 and solve for x, which gives us the solutions x = 0, x = √2, and x = -√2 (approximately 1.414 and -1.414). These solutions correspond to the points where the function curve intersects the x-axis. To confirm which points are solutions, one could substitute these values back into the original equation to ensure that the left side equals the right side of the equation.