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While in the United States visiting her grandmother, Kendra copied the famous family apple pie recipe. When she returns to England, she plans on making the same apple pie for her friends. To do this, Kendra needs to convert the flour from cups to grams. She knows that 0.5 cup of flour has a mass of 64 grams and 2 cups of flour has a mass of 256 grams.
A. Write a function that shows grams as a function of cups. Use g(x).
B. Given this scenario, determine a reasonable domain for this function.
C. Graph the relationship between the number of cups and grams of flour.
D. Evaluate g(x) for any value of x within the domain. Interpret the meaning of your solution in the context of this problem.
E. Look at the method you used to evaluate your function in part D. Explain another way you can evaluate the function for the same input.
F. Interpret what it means to have g(-2), and determine if this is reasonable given the situation.