Question

Problems Set at an Oral Examination.
Construct the graphs of the following functions.
$y=lo{g}_2|x-1|-1.$

Answer 1

2 cases are there $x>1,x<1$

therefore the 2 eqns are ${\log }_2(x-1)-1$,${\log }_2(-x+1)-1$

Hence, we get the above graph