Monthly average temperaturein degrees Fahrenheit at Austin, Texas, are provided by f(x)=17.5sin[pi/6(x-4)]+67.5, where x is month and x=1 corresponds to January.
A) Determine amplitude, phase shift, period, and vertical shift.
B) Compute maximum and minimum monthly average temperature and months when they happen.
C) Create the conjecture as to how yearly average temperature might be associated to f(x).