Heating—Temperature Control: A furnace switches on in such a way that the temperature of the heating element is a function of time, as shown by the graph.
(a) Based on the graph, write a piecewise-defined function H(t).
(b) Evaluate, if it exists.
(c) Evaluate, if it exists.
(d) Considering the context of the function, explain why the middle segment is not vertical.
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