question_answer 1)

Find all the points of discontinuity of f(x) = |x| – |x + 1|. 

Answer:

Let g(x) = |x| and h(x) = |x + 1| f(x) = g(x) – h (x) Since a modulus function is everywhere continuous. Therefore g and h are everywhere continuous. Hence being the difference of two continuous functions, f is a continuous function. f has no point of discontinuity.