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Monotone interval problem of mathematical function in senior one.
The best way to draw this kind of picture is to draw it.

First, draw a parabola image, and then fold the part where y is less than 0 around the X axis. You can see that the function is increasing function on (0, 1) or (2,+infinity).

The second question can also be drawn by tracing points, and can also be classified and discussed by x being greater than 0 or less than 0.