1. (30 points) Give the function f (x) = x² - 1 a. (10) Sketch the graph of the function. Use the graph to state the dom
Posted: Tue Jul 12, 2022 12:53 pm
1. (30 points) Give the function f (x) = x² - 1 a. (10) Sketch the graph of the function. Use the graph to state the domain and the range of the function. b. (20) Find & such that if 0 < x 21 < 6, then If (x) - 3|< 0.2. 2. (40 points) Given the function: f (x) = 1-cos x a. (10) Find the domain of f. b. (10) Use a graphing utility to graph f. Is the domain of fobvious from the graph? If not, please explain. c. (10) Use the graph to approximate limx→ f (x) d. (10) Confirm your answer to part (c) analytically. 3. (30 points) Given the function f (x) = f(x+Ax)-f(x) limax-0 Ax 3. Find x+3