Functions Homework HOLLYER Name Who you helped Who helped you Keep your answers in order and work on the front side only one graph per page You will need to insert additional pages so put them in the proper order Please work neatly if it s illegible then the grader has instructions to award a zero on that work This is a 143 point assignment 10 of these points are neatness points to be awarded at the grader s discretion Be neat and legible please This assignment is due by noon on the Monday listed in the course calendar on my website No late homework will be accepted for any reason Please submit the homework as a single pdf file to the assignments tab in your CourseWare file Grade work 143 neatness 10 Total 1 Question 1 10 points This is the graph of f x x 6 x 1 x 2 x 5 List the domain the xintercepts the y intercept intercepts in point coordinate form please Label the turnaround points TP1 TP2 TP3 Indicate where the graph is increasing and decreasing Domain x intercepts y intercept Increasing on Decreasing on 2 Question 2 15 points 1 point each answer 5 points for the graph 2x 15 Graph the function on a separate sheet and x 3 show all the important pieces of the graph clearly Tell me everything about f x Domain Range VA Holes HA Intercepts How does the graph act around the VA How does the graph act around the HA Where is the graph increasing Where is the graph decreasing Put the graph on the next page please 3 Graph Label the graph FULLY and CAREFULLY 4 3 24 points 8 each Compute at least 5 more terms of the following sequences 3 pt Discuss bounds lub and glb 4 pt Graph at least 5 point pairs very clearly and in two dimensions n term n 3 pt 3a b n 1 n n n is a natural number b1 1 1 1 1 5 3b the Fibonnacci sequence the f is the special name for each term in this sequence there s a BUNCH of stuff on the internet about it f1 1 f 2 1 f 3 2 f 4 3 f5 5 f n f n 1 f n 2 n 3 and natural 6 3c a n n 2 n 1 a1 1 2 1 3 n is a natural number 7 3d 1 Sn 1 1 n n 1 S1 1 1 1 2 1 1 1 S2 1 1 2 2 2 8 4 Arithmetic sequences show your work in agonizing detail 12 points 4 points each part a Given the following sequence find the 100th term 6 11 16 21 b The 60th term of an arithmetic sequence is 105 and the common difference between terms is 5 Find the first term c The 5th term of an arithmetic sequence is and the 20th term is 7 8 Specify the sequence in terms of a and d 9 5 Find the 8th term of the following geometric sequences Are the sequences bounded above below both or neither Discuss upper and lower bounds 10 points total 5 points each part 3 A 1 2 2 2 2 B 2 3 4 9 8 27 10 Question 6 12 points 4 points each part A What is the likely formula for this graph B What is the likely formula for this graph C What is the likely formula for this graph 11 Question 7 20 points 5 points each part 7A f x x 2 x 1 2 x 5 Sketch the graph of The leading term is 1 point The constant term is 1 point Sketch 3 points 12 7B Sketch the graph of f x x 3 x 2 The leading term is The constant term is Sketch 13 7C Sketch the graph of f x x 3 2 x 2 2 The leading term is The constant term is Sketch 14 7D Sketch the graph f x x 1 3 x 4 2 The leadning term is The constant term is Sketch 15 Question 8 40 points Graph the following functions one per attached page List the domain y intercept xintercepts point coordinates discuss holes end behavior list any asymptotes equation of the asymptote Note that Math GV doesn t put in holes or asymptote lines you have to supply those yourself A f x x 2 7x 6 x 2 4x 3 Domain 1 point Intercepts 1 point End behavior 1 point Asymptotes holes 1 point Graph 6 points 16 B f x x2 1 x2 9 Domain 1 point Intercepts 1 point End behavior 1 point Asymptotes holes 1 point Graph 6 points 17 C f x 16 x Domain 1 point Intercepts 1 point End behavior 1 point Asymptotes holes 1 point Graph 6 points 18 D f x 5 x 1 Domain 1 point Intercepts 1 point End behavior 1 point Asymptotes holes 1 point Graph 6 points 19