Quiz 3 Solutions

Quiz 3 Solutions - 1 2-= x x f a What is 5 3 a f 1 5 3 5 3...

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Quiz 3 Name: ________________________ Math 115 – 007 September 17, 2009 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. 1. (2 points each) Determine if the relations below are functions. If not, explain why not. a. )} 6 , 3 ( ), 4 , 2 ( ), 6 , 1 ( ), 5 , 0 ( ), 3 , 1 {( - = f Yes (Every input has exactly one output). b. )} 18 , 5 ( ), 18 , 1 ( ), 22 , 0 ( ), 6 , 14 ( ), 18 , 5 {( - - - = r Yes (Every input has exactly one output; –5 is repeated but its only output is 18). 2. (2 points each) Is y a function of x? If so, give the Domain and Range. If not, explain why not. a. 1 2 - = y x No (the points (0,1) and (0,-1)) have the same x-value but different y-values. b. 5 3 2 - = x y Yes. Domain: { } 0 5 3 | 2 - x x Range: ) , 0 [ 3. (4 points) Which of the graphs below represent a function? (Any, all, or none of the answers could be correct.)
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Quiz 3 Name: ________________________ Math 115 – 007 September 17, 2009 4. (2 points each) Let
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Unformatted text preview: 1 ) ( 2-= x x f . a. What is ) 5 3 ( + a f ? 1 ) 5 3 ( ) 5 3 ( 2-+ = + a a f b. What is ) 6 ( f ? 1 6 ) 6 ( 2-= f 5. (2 points each) Write the equation that represents the graph of ) ( x f : a. Translated up 4 units. ) ( x f + 4 b. Translated right 2 units. ) 2 (-x f c. Translated left 7 units. ) 7 ( + x f d. Translated up one unit and left three units. 1 ) 3 ( + + x f 6. (2 points each) a. Write the equation of the top/upper semicircle with center (–3, 4) and radius 5 4 25 ) 3 ( 2 +-+ = x y b. Write and simplify the difference quotient for x x f 1 ) ( = . x h x h x h x h h x h x h h x h x h x x h x h x h x f h x f x f ) ( 1 1 ) ( ) ( ) ( ) ( 1 1 ) ( ) ( ) ( +-= +-= +-= + +-=-+ =-+ = ∆ c. Find the Average Rate of Change for 3 ) ( x x f = from x = –1 to x = 3. 7 4 28 1 3 1 27 ) 1 ( 3 ) 1 ( 3 ) 1 ( 3 ) 1 ( ) 3 ( 3 3 = = + + =----=----f f...
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Quiz 3 Solutions - 1 2-= x x f a What is 5 3 a f 1 5 3 5 3...

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