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1310-Test-3-review-filled

# 1310-Test-3-review-filled - (i Go from f x x = to 3 2 f x x...

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Math 1310 Test 3 Review Fall 2010 Page 1 of 8 Math 1310 Test 3 Review Evaluating Functions Question 1: Given the function 2 2 3 1 ( ) 1 1 x x f x x x - < = . Find: (i) ( 1) f - (ii) (1) f (iii) (2) f Question 2: Find the domain of the following functions: (i) 2 2 ( ) 3 40 x f x x x - = -

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Math 1310 Test 3 Review Fall 2010 Page 2 of 8 (ii) ( ) 2 3 4 f x x = + (iii) 3 2 ( ) 3 2 64 7 g x x x x = - + + Question 3: Which of the following points is not on the graph of the function 2 ( ) f x x x = - ? ( -1, -2) (1, 0) (-1, 0) (2, -2) (0, 0)
Math 1310 Test 3 Review Fall 2010 Page 3 of 8 Question 4: Suppose y is inversely proportional to the square of x. If x=5, then y=4. Find the constant of proportionality, k. Then find y if x = 10. Question 5: Write the equations for the functions graphed below: A.

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Math 1310 Test 3 Review Fall 2010 Page 4 of 8 B. C.
Math 1310 Test 3 Review Fall 2010 Page 5 of 8 Question 6: Describe the transformations needed to:

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Unformatted text preview: (i) Go from ( ) f x x = to ( ) 3 2 f x x = +-(ii) Go from ( ) g x x = to ( ) 3 g x x = --(iii) Go from 1 ( ) f x x = to 1 ( ) 1 f x x = + . Math 1310 Test 3 Review Fall 2010 Page 6 of 8 Question 7: Given 2 ( ) 3 24 2 f x x x = -+-(i) What is the standard form? (ii) Give the coordinates of the vertex. (iii) Does the function have a maximum value or a minimum value? Give the maximum or minimum value. Question 8: Let 3 ( ) 2 f x x =-and ( ) 3 g x x = -. Find ( )( ) f g x r . Math 1310 Test 3 Review Fall 2010 Page 7 of 8 Find ( )(0) f f r Find ( )(3) f g r Question 9: Suppose ( ) 1 x f x x =-. Find 1 ( ) f x-. Math 1310 Test 3 Review Fall 2010 Page 8 of 8 Question 10: Use graphing transformations to sketch a graph of each function. (i) ( ) 2 4 f x x = --+ (ii) 2 ( ) ( 1) 2 f x x = -+-...
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