Use the graph to determine the limit. (If an answer does not exist, enter DNE C = -5 2 X 8 -6 -2 2 (-5,-3) -4 (a) lim f(x) = x-c (b) lim f(x) = X -C (c) lim f(x) = X-C Is the function continuous at x = -5? O Yes NoUse the graph to determine the limit. (If an answer does not exist, enter DNE.) C=-3 (-3, 5) . 5 4 (-3, 3) 3 2 1 -6 -5 -4 -3 -2 -1 (a) lim f(x) = x - ct (b) lim f(x) = X - c (c) lim f(x) = X - C Is the function continuous at x = -3? O Yes O NoUse the graph to determine the limit. (If an answer does not exist, enter DNE.) 4 (3, 2) C= 3 X 2 4 6 8 (3, -2) -2 -4 (a) lim f(x) = X -C (b) lim f(x) X -+C (c) lim f( x ) = X-c Is the function continuous at x = 3? Yes O NoDiscuss the continuity of the function on the closed interval. Function Interval 3 - X, f( x ) = 3+ _X, x> o [- 1, 4 ] The function is continuous because lim f(x) = lim f(x) = f(0) = 3. X-+ 0 The function is continuous because lim f(x) and lim f(x) both exist. X- -1 X-+4 The function is discontinuous because f(-1) # f(4). The function is continuous because the domain boundary is not inside the interval [-1, 4]. O The function is discontinuous because all piecewise functions are discontinuous at their domain boundaries.DETAILS LARCALC11 1.4.041. Consider the following. 8 A( x ) = 1 - x2 Find the x-values at which f is not continuous. Which of the discontinuities are removable? (Enter your answers from smallest to largest. Enter NONE in any unused answer blanks.) X -Select-- X -Select- DETAILS LARCALC11 1.4.501.XP. Find the limit (if it exists). (If an answer does not exist, enter DNE.) 3 - X lim x- 3+ x2 - 9Find the limit (if it exists). (If an answer does not exist, enter DNE.) 12 - 8x +9 ifx