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The graph of a function f is given. (Enter your answers as comma-separated lists.) x (a) At what numbers a does lim f(x) not exist? x- a a = (b) At what numbers a is f not continuous? a = (c) At what numbers a does lim f(x) exist but f is not continuous at a? x - a 2 =Explain why the function is discontinuous at the given number a. (Select all that apply.) f( x ) = - * + 3 a = -3 Of(-3) and lim f(x) are finite, but are not equal. O lim , f(x) and lim _ f(x) are not finite, and are not equal. x- -3+ X - -3 O lim , f(x) does not exist. O f(-3) is undefined. none of the above Sketch the graph of the function. 2- 2 2 2 -5 5 -5 5 -5 X 5 -5 -2 -2 -2 -2 OExplain why the function is discontinuous at the given number a. (Select all that apply.) ( ( x ) = 1 x + 4 if x * -4 a = -4 if x = -4 O f(-4) is undefined. x - -4+ ( lim , f(x) and lim f(x) are finite, but are not equal. x - -4 ( f(-4) is defined and lim f(x) is finite, but they are not equal. lim f(x) is not finite. x - -4 none of the above Sketch the graph of the function. y 10/ 10/ 10/ 10/ 5 5 5 5 -10 -5 X 5 10 -10 5 10 -10 -5 5 10 -10 -5 X 10 -5 -5 -5 -5 O -10 -10