Over what range is the following function continuous? Y 10+ CO 6 4 X -5 -3 O (-4, 3) O (-4, 0) nowhere (0. 3)1.05 Quiz: Continuity Back to Content . . . Where is the function discontinuous? PUNTO INWAGON X -10 -9 -8 -7 -6 -5 -3 -2 2 3 Ox=-5 Ox =-5, 0 O X = 0If f ( x ) = x2 - 4 x-2 , What is lim *-4 , lim x-4 *-2- x-2 , andf (2) ? Isf (x) continuous at 2? 4, 4, 4, continuous at f (2) 4, 4, 0, continuous at f (2) 4,4, not defined, continuous at f (2) 4,4, not defined, not continuous at f(2) 1 2 3 4 5 6 7 8iff ( x ) = x2-9 X-3 , what is lim x2 - 9 X- 3+ x-3 , lim x2-9 *-3- x-3 , and f (3) ? Is f (x) continuous at 3? 6, 6, not defined, continuous at f (3) 6, 6, 0, continuous at f (3) 6, 6 not defined, not continuous at f (3) 6, 6, 6, continuous at f (3) 1 2 3 5 6 7What type of discontinuity does the following graph have at x = 0? 10+ 6+ X O oscillating O infinite jump continuous at pointBack to Content 1.05 Quiz: Continuity . . . What type of discontinuity does the following graph have at x= 0? NO infinite continuous at point oscillating X -1 1 1 1 jump -2 DD F3 FA F6 F7 F8 F9 F10What type of discontinuity does f (x) = cos have at x=0? oscillating continuous at point O infinite jump 1 2 3 4 5 6Identify and remove, if possible, the discontinuities off(x) = discontinuity at x = 3, remove by makingf(3) discontinuity at x = 4, remove by makingf(4) discontinuity at x = 4, can not remove discontinuity at x = 4, remove by makingf(3) H 11 11 x3 3x2'+2x6 x3 Identify and remove, if possible, discontinuities of f (x) = x - 3 discontinuity at x = 3, remove by making f (3) = 0 discontinuity at X - -3, can not be removed discontinuity at X = -3 , remove by making f(-3) = 0 discontinuity at x = 3, remove by making f (3) = -1 1 2 3 4 5 6 7Identify and remove, if possible, discontinuities of f (x) = sin(x+1) tan(x+1) discontinuity at X = - 1, can not be removed discontinuity at X - - 1, remove by making f (- 1 ) = 1 discontinuity at x = 0, remove by making f (0) = 1 discontinuity at x = 0, remove by making f (0) = 1 1 2 3 4 5 6 7