GB. The one-to-one function. Q:f(P): 2319569 expresses the average number of burgers the PUB sells per day in terms of the price, measured in dollars/burger. Answer each of the following questions WITHOUT using the particular function f in Part II. (a) What does it mean in this particular scenario for the function f to be one-to-one'.2 E'tplain. (b) Is it reasonalbe to native the assumption that f is one-to-one in this par- ticular scenario? Explain. why or why not. (c) Interpret the meanings of each of the following in this particular sce- nario. Explain your reasoning thoroughly. Assume each expression is dened. 1. f(3.4). 2. f-1(30) 3'- f(f'1(40)) 4. Han) 5- f'1(f(5) - 10) . Suppose in the context of Part I that Q=f(P)=72:0(P2).29.056. (a) Evaluate f'1(52). (5') Final an expression for the function f'l. Use the appropriate variables for its input and output. Briey explain your reasoning. (c) What is the domain off1 .9 Use set-builder notation with the appropriate variable. Briefly explain your reasoning. (d) Simplify the composition f(f_l(Q)) algebraically. Does your result make sense? Explain. (e) Simplify the expression f'1(f(P) 10) algebraically. Does your result make sense? Explain