Please answer the questions below fully and completely. Be sure to show your steps, use correct notation, and make your work clear. It is expected that you attempt each problem and if you get stuck, explain your uncertainty. Remember that fixes cannot be made on problems that have no attempt and/or explanation of the sticking point for you.

1. Use the graph below to state the absolute and local maximum and minimum values of the function. y = f(x) 2. Sketch the graph of a function f that is continuous on [1,5] and has an absolute minimum at 2, absolute maximum at 3, and local minimum at 4. 3. Find the critical numbers of the functions in parts a and b. Calculations discussed in the notes must be completed to earn credit. Meaning, only looking at a graph via a calculator and writing points will not be a credit earning method. a. h(p) = p-1 p2+ 4 b. g(x) = 4x - tan (x) 4. Find the absolute maximum and absolute minimum values of f on the given intervals for parts a and b. Calculations discussed in the notes must be completed to earn credit. Meaning, only looking at a graph via a calculator and writing points will not be a credit earning method. 5. X a. f (x) = = x2 +1 on [0.2]b. f(t) = 2cost + sin (2t) on [0,7] 6. Determine where the graph of the function / (x) = 2x -v 49-x2 is concave upward and where it is concave downward. Also, find all inflection points of the function. Calculations discussed in the notes must be completed to earn credit. Meaning, only looking at a graph via a calculator and writing points will not be a credit earning method