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(-4,6]

(0,11]

[-4,6)

Given:The piecewise function isTo find:The range of given piecewise function.Solution:Range is the set of output values.Both functionsandas linear functions.Starting value ofis at x=-4 and end value is at x=3.Starting value:End value:Starting value ofis at x=3 and end value is at x=6.Starting value:End value:Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.So, the range of the given piecewise function is [0,11).Therefore, the correct option is A....

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