Mathematics 31 - Module 5 11 Assignment Booklet 2 4. Sketch the graph of a function for which f'(-2)> 0, f"(-2) 0, and f"(4)>0. f(x) -2 30 Section 5 Assignment: Curve-Sketching Procedures Read all the parts of your assignment carefully and record your answers in the appropriate place. 1. Use the function f(x) = x -4 vx to answer the following questions. 1 a. State the domain. 3 b. Determine the intercepts. (Use exact values.) Mathematics 31 - Module 5 12 Assignment Booklet 2 c. Is the graph symmetric about the x- or y-axis? Justify your answer. d. Find the asymptotes (if any). 3 e. Where does the function increase? Where does the function decrease? Mathematics 31 - Module 5 13 Assignment Booklet 3 f. Determine the maximum and minimum values. 2 g. Where is the curve concave upward or downward? 1 h. Locate the points of inflection (if any). 2 i. Sketch the graph of the function. f( x) w N 4 -3 -2 -1 1 2 -17 -3