Graphically find the intersections of the graphs of the functions

f(x) = 3 sin(x)
g(x) = x2 + 1.

Use the following Mathview Notebook to zoom in at the origin and at each of the two points of intersections of the graphs. View an animation to see how this can be done.

The two intersections appear to occur at x = 0.39581 and x = 1.39840.