if x #-1 2. Determine whether the function f(@) = x+1 is continuous at x = -1. 2 ifx =-1 3. Given below is the graph of a function y = g(x) .Use the graph to find the answers to each problem. (a) List all intervals of x for which g(x) is X continuous. -2! (b) State each value of x for which g(x) is discontinuous and state the reason why using correct mathematical notation.Section 2.6 Activlg; 1. An engineer needs to design a bridge connecting two mountainsides. One mountain's path is modeled by the function f1(x) = x3 '5'):2 + 27x 26 for x S 3 while the other mountain's path is modeled by the function f2(x) = x3 15x2 + 75x 122 for x 2 5 , where x is the number of miles horizontally from the bottom of the mountain and f] and f2 are in meters (measured above sea level). (A) In the plane below, draw the graphs of f1(x) and f2(x) on their specied domains. You may want to use your graphing calculator to assist you. Label all pertinent information. (B) Using the denition of continuity and showing all necessary computations, determine the correct values of a and b which will connect the two mountainsides via the bridge modeled by the function g(x) = ax + b. (C) Go back to the graph in part (A) and draw the bridge modeled by the line you found in part (B). Does the bridge connect the two mountains? Should it? (D) Explain the meaning of the value of a in the line that you found in part (B)