Function's graph sketch

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$f(x) = x+9$

$g(x) = 2x-3$

I need to draw the sketch of $\min(f,g)$ and $\max(f,g)$. I tried:

http://sketchtoy.com/62375984

The yellow is the min and the blue is max. The lines should be straight, sorry. So, am I right? Thanks.