Consider the function ()=(−4)3. Use ′()=4(−1)(−4)2 and ′′()=12(−2)(−4) to: a. Find all x and y intercepts, and any asymptotes.
b. Find the critical points
c. Determine the intervals where f is increasing/decreasing and find all local extrema.
d. Determine the intervals where f is concave up/concave down and find all points of inflection.
e. Then sketch the graph, labeling all extrema and points of inflection. You may use the attached grid to
organize your work.

Read the excerpt from the strange case of dr jekyll and mr. hyde what do dr. jekyll's thoughts reveal about him in this excerpt? [t]he inmates of my house were locked in the most rigorous hours of slumber, and i determined, flushed as i was with hope and triumph, to venture in my new shape as far as to my bedroom. i crossed the yard, wherein the constellations looked down upon me, i could have thought, with wonder, the first creature of that sort that their unsleeping vigilance had yet disclosed to he is jealous of those who can sleep through the night. he is revered for his scientific advances. he is interested in studying the movements of the stars he is proud and enthusiastic about his initial results.