Evaluate the difference quotient and simplify the result. f(x) X f(x) - f(3) x - 3Find the limit (if it exists). (If an answer does not exist, enter DNE.) 35 - 4, 5 5 8 lim f(s), where f(s) = 5 +8 -S, 2 S > 8 Submit Answer [-/3 Points] DETAILS LARAPCALC10 1.6.022. Consider the following. x - 2 f ( x ) = - x2 + 2x - 8 Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.) Identify any discontinuities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = If the function has any discontinuities, identify the conditions of continuity that are not satisfied. (Select all that apply. Select each choice if it is met for any of the discontinuities.) There is a discontinuity at x = c where f(c) is not defined. There is a discontinuity at x = c where lim f(x) = f(c). X - C There is a discontinuity at x = c where lim f(x) does not exist. X- C There are no discontinuities; f(x) is continuous