MHF4UE Unit 4: Characteristics of Functions - Application Task This is an evaluation that must be completed on your own with no help from tutors, friends or the internet. To earn full marks, you must justify your solution. Include the following as needed: Show diagram, Define variables, State formula, theorem, equation of function used, Show substitutions and or steps in solving an equation, State restrictions, State concluding statement, Use correct notation. No marks are given if your solution includes: e or in, differentiation, integration. This is an evaluation, make sure you are completing the work on your own. /10A . Given the function / (x) = x - 2x + 3, a. Determine the average rate of change between x = 1 and x = 3 in exact form. [2] b. Estimate the instantaneous rate of change at x = 4 to one decimal place. [2] 2. The demand function for a new laptop is p(x) = -3x + 40 where p(x) represents the selling price, in hundreds of dollars, and x is the number of laptops sold, in hundreds. The cost function is C(x) = 16x + 20. a. Determine the profit function. [2] b. Calculate the maximum possible profit. [4]