Problem 1 Jeremy has a function machine that takes one number as an input and calculates an output. The function machine calculates its output by squaring the input and then subtracting 3. For example, if Jeremy inputs 4.5 into the function machine, the output is 17.25. ● Part A: If Jeremy inputs 8 into the function machine, what is the output? Justify your answer. ● Part B: If Jeremy inputs a number A into the function machine and the output is 46, what was the value of A? Justify your answer. ● Part C: If Jeremy inputs a number B into the function machine and the output is 11, what was the value of B? Justify your answer. ● Part D: If Jeremy inputs a number C into the function machine, he gets a first output which he then inputs back into the function machine to obtain a second output, which is 253. What is the value of C ? Justify your answer. ● Part E: What is the range of values that can be an output of this function machine? Justify your answer.