Question

consider the function g given by g(x) = |x - 6|. graph the function and, on the basis of the graph, guess where the function is not differentiable. use the graphing tool to graph the functions. the function is not differentiable at x =

Explanation:

Step1: Recall the property of non - differentiability for absolute value functions

For a function \(y = |x - a|\), the function is not differentiable at \(x=a\). The graph of \(y = |x - a|\) has a "corner" at \(x = a\).

Step2: Identify the value of \(a\) for the given function

For the function \(g(x)=|x - 6|\), comparing it with the general form \(y=|x - a|\), we have \(a = 6\).

Answer:

\(6\)