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1310-Test-3-review(1)

1310-Test-3-review(1) - (i Go from f(x = |x| to f(x = |x 3|...

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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 2x 3 x 1 f x x 1 x 1 () . Find: (i) - f 1 ( ) (ii) f1 () (iii) f2 () Question 2: Find the domain of the following functions: (i) - = - 2 x 2 f x x 3x 40 ()

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Math 1310 Test 3 Review Fall 2010 Page 2 of 8 (ii) = + f x 2 3x 4 () (iii) = - + + 3 2 gx 3x 2x 64x 7 () 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: (i)

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Math 1310 Test 3 Review Fall 2010 Page 4 of 8 (ii) (iii)
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 f(x) = |x+3| - 2 (ii) Go from = g x x ( ) to = --g x x 3 ( ) (iii) Go from = 1 f x x ( ) to = + 1 f x x 1 ( ) . Math 1310 Test 3 Review Fall 2010 Page 6 of 8 Question 7: Given = -+-2 f x 3x 24x 2 ( ) (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 f x x 2 ( ) and =-g x 3 x ( ) . Find f g x r ( )( ) . Math 1310 Test 3 Review Fall 2010 Page 7 of 8 What is the domain of f g x r ( )( ) ? Find f g 3 r ( )( ) Question 9: Suppose =-x f x x 1 ( ) . 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) = --+ 3 f x x 2 4 ( ) ( ) (ii) = -+-( ) ( ) 2 f x x 1 2...
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