Question

If the xy-plane, the graph of y=x^2 and the circle with center (0,1) and radious 3 have how many points of intersection?

Answer 1

The answer to this question is c, two. The top arc of the circle intersects the y=x^2 as each 'limb' extends into infinity. The part of the circle below the x-axis does not intersect the circle. The y=x^2 curve does not dip below the x-axis, but does extend into infinity on both the negative x-axis and positive x-axis.