NO MARKS ARE GIVEN IF YOUR SOLUTION INCLUDES: e, In, differentiation or integration

Show diagram, Define variables, State formula, theorem, equation or function used, Show substitutions and or steps in solving an equation, State restrictions, State concluding statement

?Unit 5: Characteristics of Functions - Application Task (Advanced Functions grade 12)

1. The amount of money, A(t), in dollars, that Shujana has in her bank account after t months is given by A(t) = 3t3 - 3t + 21. a) Determine the average rate of change between [2A] i) month 1 and month 2 ii) month 2 and month 3 iii) Compare the two rates of change from i) and ii). What does this represent in the given situation? [1A] b) Estimate the instantaneous rate of change after 4 months. Explain what the value represents in this situation. [2A]2. a) Determine (f - g) (x) in simplified form and state its domain, given f (x) = x 5 x + 4 and g(x) = logx - 2. [2A] b) Determine (f x g) (x) in simplified form and state its domain, given f(x) = 2\\x + 9 and g (x) = - x + 2 3 x + 6 [2A] c) Identify two functions, f(x) and g(x), in which (f . g)(x) will have the domain {x ER | x 2 2, x # 11}. State (f . g) (x) in simplified form and show how it has the indicated domain. [2A]