Quiz 4 Solutions (fixed)

# Quiz 4 Solutions - g and 4-= x x h a What is the composition x g f 6 5 3 5 2 2-=-= = x x f x g f x g f b What is the composition x f h 4 6 3 6 3 =

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Quiz 4 Name: ________________________ Math 115 – 007 September 24, 2008 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. (Matching, 5 points) Match the following function types with their corresponding graphs. B Parabola A Piecewise, Range = {-1, 1} E Absolute Value D Greatest Integer C Half-Circle A. B. C. D. E.

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Quiz 4 Name: ________________________ Math 115 – 007 September 24, 2008 2. (3 points each) For each function below, determine whether or not it is invertible. If it is, write its inverse. If it is not, explain why not. a. )} 6 , 3 ( ), 4 , 2 ( ), 6 , 1 ( ), 5 , 0 ( ), 3 , 1 {( - = f No (the y-value 6 has 2 corresponding x-values). b. )} 0 , 18 ( ), 3 , 7 ( ), 4 , 5 ( ), 10 , 2 ( ), 2 , 4 {( - - = f )} 18 , 0 ( ), 7 , 3 ( ), 5 , 4 ( ), 2 , 10 ( ), 4 , 2 {( 1 - - = - f c. 3 2 ) ( + = x x f 2 3 ) ( 1 - = - x x f d. 1 ) ( 2 + = x x f No (each y-value except 1 has two corresponding x-values). 3. (3 points each) For this problem, let 6 3 ) ( + = x x f , 5 ) ( 2 - = x x
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Unformatted text preview: g , and 4 ) (-= x x h a. What is the composition ) )( ( x g f ? 6 ) 5 ( 3 ) 5 ( )) ( ( ) )( ( 2 2 +-=-= = x x f x g f x g f b. What is the composition ) )( ( x f h ? 4 ) 6 3 ( ) 6 3 ( )) ( ( ) )( (-+ = + = = x x h x f h x f h c. What is the composition ) )( ( x h h ?--=-= = 4 ) 4 ( )) ( ( ) )( ( x x h x h h x h h 4. (4 points) Write the following quadratic function in ahk (vertex) form by completing the square, and give its vertex. 2 9 3 ) ( 2 +-= x x x f Vertex: -4 19 , 2 3 4 19 2 3 3 ) ( 2 2 3 3 2 3 3 ) ( 2 2 3 2 3 3 3 ) ( 2 ) 3 ( 3 ) ( 2 2 2 2 2 2 2- -= + -- -= + -- -+-= +-= x x f x x f x x x f x x x f...
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## This note was uploaded on 03/04/2012 for the course MATH 115 taught by Professor Ms.park during the Fall '09 term at South Carolina.

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Quiz 4 Solutions - g and 4-= x x h a What is the composition x g f 6 5 3 5 2 2-=-= = x x f x g f x g f b What is the composition x f h 4 6 3 6 3 =

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