5, Let k(x)=re"-2 (18 points) a. (3 pts) Identify all the critical numbers of k. b. (3 pts) Identify the horizontal asymptote, if any exist. c. (3 pts) Identify the intervals on which k is increasing or decreasing d. (3 pts) Identify the intervals on where k is concave up or concave down. e. ( pts) Write the ordered pairs of the extrena and poiuts of inflection of k. f. (3 pts) Sketch the graph of k.