Please answer the questions you know the answer to.. Its okay if you dont answer them all...

5. All the functions shown in the following graph have the form f (it) = 013'\". (a) (1 pt) Which graph has the largest value for b? (b) (1 pt) Which graph has the smallest value for b? (C) (1 pt) Which graph has the largest value for a? (d) (1 pt) Which graph has the smallest value for a? 6. Give the horizontal asymptote and describe the long run behavior of following functions as and x - -o. (a) (2 pts) f(x) = -3 + 100 00 1 (b) (2 pts) f(x) = 2(3) -2 - 41. Find the formula for an exponential function f(x) = ab which passes through the two points given. (a) (2 pts) (4, 1) and (3, 6). (b) (2 pts) (-1, 18) and (3, ).2. (2 pts) Suppose an investment account is opened with an initial deposit of $5, 000 earning 3.5% interest compounded continuously. How much will the account be worth after 20 years? 3. Consider this scenario: For each year t, the population of a forest of trees in town A is represented by the function A(t) = 920(1.013)t. In town B, the population of the same type of tree is represented by the function B(t) = 950(1.011)t. (a) (2 pts) Which forest had a greater number of trees initially? By how many? (b) (1 pt) Which forest's population is growing at a faster rate? (0) (2 pts) Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 30 years? By how many? s) )- Sketch the graph of (x2, ()? ( OJIH )9\" + 1 by hand. Explain how to get each graph from