Question 329221
We have seen a parabola intersecting the x-axis twice and y-axis once. 
1. Does any graph of any function intersect both the axes at least once? twice? or more? 
No.  y = 2 is parallel to the x-axis, so there's no intersection of it.  Only 1 intersection of the y-axis.
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2. How about a function that doesn't intersect any of the axes?
eg, the circle (x-5)^2 + (y-5)^2 = r^2 doesn't intersect either asix, if r is less than 5.
A circle can be composed of 2 functions.  Neither half will intersect the axes.
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 Discuss with examples.
I did.