please solve and show work

Unit 3 FRQ Test Study Guide 1. Show that the piecewise function below is continuous at x = O IZSinx forxO may. forx 3 0. 2. Let f be the function defined by f(x} = exsinx. Let glx} be defined by the graph below. Find lim "). x>D(x) Justify your answer. 3. The table below gives selected values of the function x). The function x) has discontinuities at x = 2 and x = 5, but is continuous everywhere else. x l3 l0 l3 l6 l9 l11l f(x) 4 9 10 8 5 5 a. Can it be shown that there is there a value c such that f(c} = 5 on the interval [3, 0]? Justify your answer. b. Can it be shown that there is there a value c such that f(c} = 5 on the interval [3, 3]? Justify your answer. c. Can it be shown that there is there a value c such that f(c} = 10 on the interval [3, 0]? Justify your answer. d. On what interval can it be shown that x) crosses the x axis? Justify your