Assignment 1 (10%) Assignment 1 is graded with a total of 100 marks and it contributes 10 percent towards your course grade. [10 marks] 1. Find W for f (x) = WI-x + 2. Simplify your answer until there are no radicals in the numerator. {10 marks] 2. Find a formula for the function f whose graph is shown in the diagram below. -1 o 1 2 3 4 5 6 r s 9 10 [8 marks] 3. Give the domain in interval notation for each function: (4 marks) a. f (x) = 3:: (4marks) b. g(t)= V5t+V6+t [12 marks] 4. For f(x) = V'Zx + 3 and 90:) = x2 + 1, find fog, gaffe)\[10 marks] [8 marks] J[3E2 marks] (4 marks) (4 marks) (4 marks) [10 marks] (4 marks) (4 marks) (2 marks) [10 marks] 5. An electricity company charges its customers a base rate of $15 a month plus 8 cents per kilowatt-hour (kWh) for the first 1200 kWh and 12 cents per kWh for usage over 1200 kWh. Write the cost, C, in dollars as a function of x, the number of kWh used for 0 S x 00? 2+3 lnx 4]nx 9. For the function f(x) = [10 marks] 9. For the function f (x) = 2+3 Inx 4-In x TRU Open Learning MATH1141: Calculus I A1-3 (5 marks) a. Find f-'(x). (5 marks) b. Check that f-1 (f (x)) = x. [10 marks] 10. Find the exact value of each expression. (3 marks) a. sin -1 (sin ST) (3 marks) b. cos -1 (eln1-}in2) (4 marks) c. sin(2sin ' ()