MATH 101 Exam 1, Fall 2010

AMERICAN UNIVERSITY OF BEIRUT Mathematics Department Math 101 – Quiz 2 Fall 2010 – 2011 Name:………………………………………………. ID:……………………………………. Please circle your section number: Instructor: Silvana Jaber Section 1 Section 2 Section 3 Section 4 F @ 9:00 F @ 10:00 F @ 11:00 F @ 12:00 Instructions: 1. Write your NAME and AUB ID number above. 2. Solve the problems on the white sheets at the appropriate place. Use the pink booklet for scratch work only. 3. You may use the back pages of the white sheet to solve or complete the solution of a problem. PART I: Fill in the blanks. 1. If , then the domain of g is ________________. The value of is __________. 2. The graph of the function is symmetric about the ___________. 3. If , the function is said to be an ____________ function. The graph of an odd function is symmetric about the __________. 4. To shift the graph of the line horizontally 3 units to the right, we rewrite its equation as _________________________________. 5. If and , then ________________. The domain of the composite is ____________________. 6. Evaluate: _________, _________, _________. 7. Consider the graph of the function below, 3 2 -1 ______ and ______. 8. Suppose and . Then ___________. PART II: 1.a) Find the domain and range of the function . 1.b) Say whether the function is even, odd, or neither. Give reasons for your answer. 2. Find a formula for the function graphed below. 2 1 2 3.a) Express in terms of and . 3.b) A triangle has sides and and angle . Find the length of side facing angle . 4. For it is known that . Find . 5.a) Find 5.b) Find 6. Consider the function . Does exist? Justify. 7. Let be the function with domain – be given by a) Calculate and . b) Find the value of which makes exists.