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Unit 1 Part 2: Advanced Polynomial & Rational Functions - Application Task 2 1 . The monthly revenue, R(x), for a big tech company depends

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Unit 1 Part 2: Advanced Polynomial & Rational Functions - Application Task 2 1 . The monthly revenue, R(x), for a big tech company depends on the monthly advertising expenses, x, by the s. - 200 function R(x) = 1020x, where the monthly revenue and advertising expenses are in thousands of dollars. (a) What should be the monthly advertising expenses if the company wants the monthly revenue (in $) to exceed $200 000? Include an interval chart in your solution. (3 marks) R(X ) = 1020X > 200 1025x 7200 (8*+5 ) XE (- 816, -3. 1 ) u (- 3, 1 25 + 8x 1025 X 7 1600* +5000 - 3.1 Up - 8 .6 8+25X 7-25x 1025X- 1600x 75000 1020X 8 x ) - 25x -580 X 7 5000 8+25x 8 X 8x x7 8 or -3. 1 580 580 x 7 - 8:6 X/ 8.60 (b) What will happen to the amount of monthly revenue as advertising expenses increase? Provide a complete answer by providing details about the behaviour of the graph and numerical details about the monthly revenue. Include a sketch. (2 marks) 2. Sketch the curve f (x) = by providing a full analysis of its features. Please label ALL important points/values (ex., asymptotes, x- and y-intercepts, etc.). (6 marks) Domain:

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