Questions: . (4 marks) Determine whether the function f is even, odd, or neither. (a) f(z)=|z|+2*+4 (6) (o) = VaF+ = 2z . (5 marks) Consider the function f(z) = =13 (a) Determine its inverse f1. (b) Use the inverse function property to check your answer. (Check fo f~! and f~!o f) . (4 marks) Express the function in the form f o g, with f(z) # = and g(z) # z. (@) F(a) =/ + z _ VT . (5 marks) Jane took 100 mg of a drug in the morning and a second and final dose of 100 mg of the same drug at the same time the following morning. The amount of the drug in her body days after the first dose was taken is given by A(t) = 100e~ 14, B0 =100 (1+ett)e i, ift>1 What was the amount of drug in Jane's body (a) immediately after taking the second dose? (b) in the long run? . (3 marks) Find the domain of the function f(z) = % . (4 marks) [Geogebra Question] The altitude (in feet) attained by a model rocket seconds into flight is given by the function P(t) = 2t5 + 10t* + 4, t > 0. Open a new Geogebra CAS In the left pane press the + button and click Expression Define the altitude function using the command P(t)=-2xtA5+10xtA\\4+4 A graph of the altitude attained by the model rocket will be shown to the right Adjust the interval of the horizontal axis which is displayed using the + or - magnifying glasses on the bottom right. Move the graph around by clicking and holding your mouse on the graph. Adjust until the maximum point of the graph is clearly visible. Use this graph to answer the next questions. (a) What are the intervals of increase and decrease of the function? (b) What is the maximum altitude attained by the rocket? () How long does the rocket take to reach the maximum altitude? ) (d) Zoom out and save a screenshot of your graph and label the point where the maximum altitude occurs. Submit the graph with your assignment