Consider the following. 2 _ f(X)= x 3, XS 1 Sx+3, X>1 Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.) E Identify any discontinuities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) If the function has a discontinuity, identify the conditions of continuity that are not satised. 0 There is a discontinuity at X = c where f(c) is not defined. 0 There is a discontinuity at x = c where lim f(x) f(c). X'C 0 There is a discontinuity at x = c where lim f(x) does not exist. X>C 0 There are no discontinuities; f(x) is continuous