1. Sketch this function. (Do all eight steps listed in the videos and notes for this week. If you need to factor a cubic, you can ask a computer for the approximate roots.) (12) w7 \"mm 2. Consider this model ofan ant population in some local ecosystem, where the population is simply numbers of ants and time is measured in months. (12) (30000)2214t t e [0, 24) p(t) = 60000 t e [24, 48) (10000)2-%t t e [48, 00) a. What is the starting population? b. Is the population function continuous? c. What is the long term behaviour of the population? d. Is this a reasonable population model? Build a story that describes what is happening with this ant population