(1) Sketch the graph of a function f(x) that meets all of the following criteria: f(x) is linear with a negative slope on the domain (5, 1) f(x) is linear with a positive slope on the domain (1, 5) f(x) has a similar shape to the graph of y = e^0.5x on the domain (5, ) f(x) has the same y-intercept as y = 2 ^x/30

(2) A 50,000 g piece of wood decomposes 3% each day. Let wt represent the mass of wood (in kg) left after t days. (a) Write the updating function and initial condition for this DTDS. (b) Perform the cobwebbing algorithm for this DTDS. Perform at least the first 3 iterations. (c) Write the solution function for this DTDS. After how many days will the mass of wood left equal 20 kg? (d) Identify all equilibrium points of this DTDS both graphically and algebraically