Limits and Continuity Discussion-Based Assessment Assigned Problems 1. Let f be the function given by f(x) = 2x VX2 - 1 Part A: What is the domain of f? Part B: Find the range of f. 3x2 + 10x - 8 for X 2 Part A: For what value of k, if any, is f continuous at x = -4? Justify your answer. Part B: Find all asymptotes to the graph of f. Show the work that leads to your answer. 3. The functions fand g are continuous for all real numbers, and g is strictly increasing. The table gives values of the functions at selected values of X. X f(x) g(x) 2 3 -6 3 5 2 6 -12 3 9 -4 6 The function h is given by h(x) = f(g(x)) - 3. Explain why there must be a value / for 3