f(x)=⎩⎨⎧3xmin{1+x,x}min{2+x,x+2}5;;;;x<00≤x<11≤x<2x>2 f(x)=⎩⎨⎧3xxx+25;;;;x<00≤x<11≤x<2x>2
Not continuous at x∈{1,2}⇒α=2 Not diff. at x∈{0,1,2}⇒β=3 α+β=5
Let f(x)=⎩⎨⎧3x,min{1+x+[x],x+2[x]},5,x<00≤x≤2x>2, where [.] denotes greatest integer function. If α and β are the number of points, where f is not continuous and is not differentiable, respectively, then α+β equals __________
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