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# Which piecewise relation defines a function? Download png

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Answer: h(x)Explanation:1) f(x) is not a function because there is an ambiguity for x = 4.x = 4 belongs to the two intervals, - 2 ≤ x ≤ 4 and x ≥ 4Then find two different possible images for x: 0 and -(2)^2 = - 4.That makes f(x) is not a function.2) something similar happens with g(x)as per the relation given the value of g(x) for x = 2 is 4 and 4+1 = 5. What makes g(x) is not a function.3) j(x) is not a function because the image of x = -4 is -3(-4) = 12 and 3.4) h(x) is a function, because there is no ambiguity in its definition, for every x in its domain there is only one image of h(x).