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exam2soln - Math 140Section82 Spring 2007Exam 2...

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Math 140 Section 82 Spring 2007 Exam 2 Monday, March 5,2007 Instructor: Atilla Sit Closed book, closed notes. Calculators are NOT allowed. Show all of your work in the spaces provided. There are 5 questions, total 100 points. This exam contains 3 pages. Please make sure that you have all the pages before beginning and don't forget to write your name. Good luck! Name: " 5ol,^tbns l' 1-. (27 pts) Use the graph of the function / given below to answer the following questions: 1 0.8 0.6 0.4 o.2 0 -o.2 -0.4 -0.6 -0.8 -1 :2 -1t2 0 x values (a) (3 pts) o o -= 6 (b) (3 pts) (c) (3 pts) (d) (3 pts) Slhat is the domain of /? Dom(f) = L 2,21 What is the range of /? Ro" (t) = [-r , 11 What are the r-intercepts (if any)? G2,o), (-t ,o),(o,o), ({,o), [z,o) What is the gr-intercept (if any)? (o, o) (e) (3 pts) List the intervals on which / is increasing? (-2,-a) , F! ,l), t*,') (f) (3 pts) List the intervals on which / is decreasing? (_ I , + ) ,(*,+)
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(g) (3 pts) List the numbers at which / has a local maximum. What-are these local maxima? -Ab x= -?/, whrch is +[-%) = 'l ;rb X: al^ whr.h is f (tlt ) = I ./-4b X= L *h,^ch is f tr) = o .
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