Unit #3: Curve Sketching Assignment 1. 2. Score: /17 (7 points) Find and classify all critical points for the function f(x)=323-82-5x+6 on the interval -2x4 (3 points) Izembaro's theatre troupe is back selling tickets for their third and final performance of The Bloody Hand in King's Landing. Their revenue can be modelled by the function R(z) = 16x- where R is the revenue in copper 30' pennies and z is the number of tickets sold. Determine how many tickets must be sold to maximize their revenue. 3. (2 points) Given the graph of "(x) identify the intervals of concavity for f(x). -4 -2 14 y 12 10 8 6 4 2 4 -2 4. (2 points) Given the graph of "(z) in the question above. Determine what is the lowest possible degree f(x) has and explain why. 5. (3 points) Explain the second derivative test and how it can be used.