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