Test Index

AP EAPCET 04-Jul-2022 Shift 1 Paper

Section: Mathematics

Question : 63 of 160

Marks: +1, -0

f(x)=\max\{3-x,3+x,6\}

x=a

x=b

|a|+|b|=

Solution: 👈: Video Solution

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 \text{ and } x=3

a=-3 \text{ and } b=3

\therefore |a|+|b|=3+3=6

Go to Question:

Prev Question

Next Question