Afun-otion r] is continuous at .1: = a. if: . a. is in the domain of x]: i.e_ flu] exists . Erna r] exists. i.e. both onesided limits exist and are equal P ~gfi=fhl Reasons why at) might fail to be continuous: u] does not exist lit: f{I) doesn't exist E or both exist: but don't match :: + 2 .1: 1, I q 2 a=en() r(:)={I+LI2_2 Practice Determine the most accurate statement for each of the following graphs: 5 JA. f(I) is continuous at r = -2. OA. f(I) is continuous at x = -1. DB. f(x) is not continuous at x = -2 OB. f(r) is not continuous at r -1 because f(-2) is undefined. because f(-1) is undefined. OC. f(x) is not continuous at I =- -2 OC. f(x) is not continuous at r because lim f(c) does not exist. because lim f(x) does not exist. It- 2 +-1 DD. f(x) is not continuous at I = -2 OD. f(x) is not continuous at r = -1 because f(-2) and lim f(r) exist, but because f(-1) and lim f(x) exist, but I-+-2" I-+-1" are not equal. are not equal. 1. 0 DA. f(I) is continuous at r = 2. DA. f(x) is continuous at I = 1. DB. f(x) is not continuous at I = 2 OB. f(x) is not continuous at 1 = 1 because f(2) is undefined. because f(1) is undefined. OC. f(x) is not continuous at r = 2 OC. f(x) is not continuous at r = 1 because lim f(r) does not exist. because lim f(x) does not exist. OD. f(x) is not continuous at I = 2 DD. f(x) is not continuous at r = 1 because f(2) and lim f(x) exist, but are because f(1) and lim f(x) exist, but are not equal. not equal. Note: In order to get credit for this problem all answers must be correct