Only need help with numbers 8-10
f(x)= 2x3-3x2-12x + 12 Student will consider the following: 1. Is the graph a rational function or polynomial? 2. From their knowledge of common function, can they predict a common shape? 3. Have they found the x & y-intercepts; if not have they explained why not? 4. Have they found any vertical asymptotes? a. Yes/No; if no explain why not. If no, do not continue with b&c. b. If yes, how many? c. Using the correct notation, have they named and displayed them on the graph 5. Does the function have a horizontal asymptote'? a. b. Yes/No; if no explain why not. If no, do not continue with b& c Using the correct notation, have they named the horizontal asymptote and displayed them on the graph 6. Generate the first derivative a. Did they name the 1st derivative, using the correct notation b. Have they noted all possible critical numbers? c. Did they complete the Real number line, indicate where the function is increasing& decreasing d. Have they recorded the minimums&maximums? 7. Find the 2nd derivative a. Did they name the second derivative using the correct notation? b. Have they noted the x-values of possible critical numbers from the 2nd derivative? c. Did they complete the Real number line and indicate concavity d. Did they name the inflection point; if not explain why? Take the limit ofthe function as Xâoo, what does this indicate? Take the limit of the function as Xâ-00, what does this indicate? Complete the process by graphing the function on graph paper