Communication TRUE OR FALSE (1 mark each)For each question, circle either True (T)or False (F).If the statement is false, provide an explanation.If a function is continuous atx=a, then its left-hand limit, right-hand limit, and function valuemust all be equal atx=a.A rational function is always continuous wherever itis defined.If a function has a hole atx=3, then the limitlimx3f(x) does not exist.Iflimxaf(x) exists, then f(x) must be continuous atx=a.A polynomial function is continuous for all real numbers.Iff(x)is continuous onan interval and never decreases, then f(x) must have a limitat every point inthe interval.A function with anabsolute value term can never be continuous.If a function has a vertical asymptote atx=a1, then limxaf(x) must be infinite.