answer this and below you will find the missing questions for part (2) (c) On which intervals is f strictly increasing? On which intervals is f strictly decreasing?(d) Makes it the intervals on which f concave up. Make a list of the intervals on which f(e) Where are the inflection points of f?(f) Make a list of at least two intervals where the Extreme Value Theorem holds.Please make the answer and explanation easy and clear. Thank you

Math 251 Written Homework 3 - F23 Due Thurs. Oct. 19, 2023 First Name Last Name OSU Student ID # Instructions: Do all of your work on this paper, or use your own paper. If you use your own paper, locate your work on the appropriate place on the page. (Work as if you were using this template.) Scan the completed problems and create one PDF of your work. Your PDF needs to be the same number of pages as the template. Upload your work into Gradescope by the due date. (1) Use the following graph for the problems on this page and the next page. 2 - 2 -2 Sketch a graph of f'(r) on top of the graph of f(x) above. Hint: your graph of f'(x) should have 6 open circles (o), one vertical asymptote, and one double root.) Page 1 of 2 Math 251 Written Homework 3 - F23 Due Thurs. Oct. 19, 2023 (2) Use the graph on the previous page to answer the following questions: (a) Where are the critical points of f? Note that if c is not in the domain of f then a = c is not a critical point of f. (A critical point of f is a point c in the interior of the domain of f such that either f'(c) = 0 or f'(c) is undefined.) (b) Estimate the local extreme value(s) of f. The local extreme values are the output values f(c), where c is the location of a local maximum or local minimum