8 of 8 NO CALCULATOR IS ALLOWED FOR THIS QUESTION. Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests a lied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point. Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers a for which f (a) is a real number. 2t+1 - 2 for 0 7 t-4 The amount of money raised during a fund-raising campaign is modeled by the function F defined above, where F (t) is measured in United States dollars and t is the time in days since the campaign began. (a) Find lim F (t). Explain the meaning of lim F (t) in the context of the problem. t -too U X2 X2 3 0 2 : ED B I 0 / 10000 Word Limit (b) Is the function F continuous at t = 7 ? Justify your answer.0 / 10000 Word Limit (c) The amount of money raised during a competing fund-raising campaign is modeled by the function M defined by M (t) = 240 (2' -1) (2+36) where M (t) is measured in United States dollars and t is the time in days since that campaign began. According to this model, is there a time t, for 0