Below is the graph of a piecewise function f(x). y 4+ 3 ● 6 -6 -5 -4 -3 -2 -1 -1 2 1 -2 I بن I 4 1 234 56 y = f(x) Xx (

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Below is the graph of a piecewise function f(x). y 4+ 3 ● 6 -6 -5 -4 -3 -2 -1 -1 2 1 -2 I بن I 4 1 234 56 y = f(x) Xx
(a) lim X→ O 3 1 DNE 2 3 f(x)= (b) Is f(x) differentiable at x = 4? O true false (c) Find the domain of f(x). O [-6,-4) U (-4,6) O [-6,-4) U (-4,2) U (2,6) O(-6,-4) U (-4,6) O [-6,6] O (-6,2) U (2, O [-6,6) O [-6,2) U (2,6) O (-6,-4) U (-4,2) U (2,6) (d) Find the range of f(x). O (-3,1) U (1,4] O [-3,1) U (1,4] O (-3,4] O (-3,2) U (2,4] O (-3,3) [-3,4] O [-3,3] O [-3,2) U (2,4]