Question

the number of points where the function f(x) = |x-3| is not differentiable is​

Answer 1

Consider the given function.

Consider the given function.f(x)=∣x∣+∣x−1∣

Consider the given function.f(x)=∣x∣+∣x−1∣Since, it is an absolute function. So, it a continuous function.

Consider the given function.f(x)=∣x∣+∣x−1∣Since, it is an absolute function. So, it a continuous function.Let see the graph of the given function,

Consider the given function.f(x)=∣x∣+∣x−1∣Since, it is an absolute function. So, it a continuous function.Let see the graph of the given function,From the graph, it is clear that the function f(x) is not differentiable at x=0 and x=1.

Consider the given function.f(x)=∣x∣+∣x−1∣Since, it is an absolute function. So, it a continuous function.Let see the graph of the given function,From the graph, it is clear that the function f(x) is not differentiable at x=0 and x=1.Hence, points 0 and 1 where the function f(x) is non-differentiable.