Explore the graphs of for 0 < a ≤ 3; 0 < b ≤ 4 to answer the following questions:
(a) Find the range of f(x) for various pairs of values of a and b.
(b) For which pairs of values (a, b) is the graph of f(x) increasing? Decreasing?
(c) For which pairs of values of (a, b) is the graph of f(x) concave up? Concave down?
(d) Find the asymptotic behavior as x goes to ∞ and as x goes to –∞ for various pairs of values of a and b.
