AP EAPCET 04-Jul-2022 Shift 1 Paper

f(x)=Max{3−x,3+x,6}
Plotting the graph:We know that a function is not differentiable at the points where it has sharp-corner point.
In the above graph, we can see that only two sharp corner points are present.
Therefore, the above function is not differentiable at two points which are
x=−3‌ and ‌x=3
a=−3‌ and ‌b=3
∴|a|+|b|=3+3=6