Below is the graph of a piecewise function f(x). y 4+ 3 2 1 (a) lim f(x)= X→-4+ 01 -3 -6-5-4-3-2-1 O DNE 02 • O false -1 -2 -3 (b) Is f(x) differentiable at x = 4? true ^ 1 2 3 4 5 6 y = f(x) X
(c) Find the domain of f(x). O (-6,2) U (2,6) O [-6,-4) U (-4,2) U (2,6) O [-6,6] O [-6,-4) U (-4,6) O [-6,2) U (2,6) O (-6,-4) U (-4,2) U (2,6) (-6,-4) U (-4,6) O [-6,6) (d) Find the range of f(x). O (-3,4] O [-3,2) U (2,4] O [-3,3] O (-3,1) U (1,4] O [-3,1) U (1,4] O [-3,4] O (-3,3) O (-3,2) U (2,4)
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