Drill 3 - to (aqt73) – Drill 3 – seckin – (54330)...

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Unformatted text preview: to (aqt73) – Drill 3 – seckin – (54330) This print-out should have 25 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 1 4 4. 2 10.0 points −4 −2 2 4 2 4 2 4 −2 Which of the following is a graph of a 1 − 1 function? −4 4 1. 2 −4 −2 2 4 4 5. −2 2 −4 −4 −2 −2 4 2. −4 2 −4 −2 2 4 −2 −4 4 6. 2 4 3. −4 −2 2 −4 −2 −2 2 4 −4 −2 −4 002 (part 1 of 4) 10.0 points to (aqt73) – Drill 3 – seckin – (54330) 5 3. None of these 9 A 2 E 4. Graph F -5 5 5. Graph E -1 -5 9 004 (part 3 of 4) 10.0 points c) What is the inverse of graph C? -1 7 7 B F -1 9 1. None of these -1 9 2. Graph F 3. Graph E -3 -3 9 4. Graph H 5 C G 5. Graph G -5 -1 5 005 (part 4 of 4) 10.0 points d) What is the inverse of graph D? 9 -1 -5 5 1. Graph G 5 D H -5 5 2. Graph H -5 5 3. Graph E 4. None of these -5 -5 a) What is the inverse of graph A? 1. Graph H 5. Graph F 006 10.0 points Find the inverse of 2. Graph G f ( x) = 3. Graph F 4. Graph E 5. None of these 003 (part 2 of 4) 10.0 points b) What is the inverse of graph B? 1. Graph H 2. Graph G 4 . x 4 x x 2. f −1 (x) = 4 1. f −1 (x) = 3. None of these 4. f −1 (x) = 4x 5. f −1 (x) = 1 4x 007 10.0 points to (aqt73) – Drill 3 – seckin – (54330) 3 Find the inverse of f (x) = x3/5 . 2. None of these 3. y = x + 7 1. f −1(x) = x5/3 4. y = (x − 7)9 2. f −1(x) = x3/5 5. y = x9 − 7 √ 6. y = 9 x − 7 3. f −1(x) = x−5/3 4. None of these 010 10.0 points Find the equation of the inverse of 5. f −1(x) = x−3/5 008 10.0 points Find the inverse for f ( x) = x 2 − 5 , x ≥ 0, sketch the graphs of f (x) and f −1(x) on the same axes, and verify that f −1 [f (x)] = f [f −1 (x)] = x. √ 1. f −1(x) = − x − 5 2. None of these √ 3. f −1(x) = − x − 5 4. f −1(x) = √ 5. f −1(x) = √ 6. f −1(x) = √ x+5 x−5 x−5 √ 7. f −1(x) = − x + 5 √ 8. f −1(x) = − x + 5 9. f −1(x) = √ x+5 009 10.0 points Find the equation of the inverse of y = x9 + 7 . 1. y = −x + 7 10 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 8 6 4 2 −8 −6 −4 −2 −2 2 4 6 8 −4 −6 −8 -10 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 -9 f ( x) = 5 x + 2 . 4 2 1. y = x + 5 5 2 2 2. y = x − 5 5 1 2 3. y = x − 5 5 1 2 4. y = − x − 5 5 2 1 5. y = x + 5 5 6. None of these 011 10.0 points Find the inverse of the relation {(0, 7), (1, 0), (3, 8), (5, 3), (8, 5)} . to (aqt73) – Drill 3 – seckin – (54330) 1. {(3, 1), (0, 5), (5, 8), (8, 3), (7, 0)} 4 Rewrite the formula so that K is the input and C is the output. 2. {(0, 1), (3, 8), (5, 5), (7, 3), (8, 0)} 1. C = K − 273.15 3. {(0, 3), (3, 5), (5, 8), (7, 0), (8, 1)} 2. C = K + 273.15 4. None of these 3. None of these 5. {(0, 8), (3, 1), (5, 5), (7, 0), (8, 3)} 4. C = 6. {(0, 1), (3, 5), (5, 8), (7, 0), (8, 3)} 5. K = C + 273.15 012 (part 1 of 2) 10.0 points Consider the functions 1 f (x) = 2x and g (x) = x. 2 K 273.15 015 10.0 points What is the graph of y = x3 − 1 ? y 1. a) Calculate f (g (x)). 1 1. f (g (x)) = x -1 x 2. f (g (x)) = 0 3. None of these y 2. 1 4. f (g (x)) = 1 x -1 5. f (g (x)) = −1 013 (part 2 of 2) 10.0 points b) Calculate g (f (x)). y 3. 1 -1 1. g (f (x)) = 0 x 2. g (f (x)) = −1 3. g (f (x)) = x 4. g (f (x)) = 1 4. None of these 5. y 5. None of these -1 014 10.0 points The formula to take an input of temperature in degrees Celsius and to receive an output of temperature in degrees Kelvin is K = C + 273.15, 1 x 016 10.0 points What is the graph of √ y = 1 − x? to (aqt73) – Drill 3 – seckin – (54330) y 1. -1 5 y 3. 6 5 4 3 2 x 0 -3 -2 -1 -1 -2 y 2. -1 6 5 4 3 2 -3 -2 -1 -1 -2 y 3. -3 -2 -1 -1 -2 4. None of these 5. 0 1 1 -3 -2 -1 -1 -2 f (x) = −(x + 3)2 1 12345 x 10 8 y 6 5 4 3 2 1 -3 -2 -1 -2 6 1. 4 12345 x 018 10.0 points Sketch the graph of the function y 2. 12345 7. None of these 6 5 4 3 -3 -2 -1 -1 -2 x 6 5 4 3 x 017 10.0 points Identify the correct graph for √ y = x+2. 1. 12345 y 6. y x 6 5 4 3 2 x 1 12345 y 5. 0 x y 4. x 0 12345 2 x −2 2 to (aqt73) – Drill 3 – seckin – (54330) 6 4 2 2. −2 −2 2 −4 −6 −8 3. None of these −10 −8 −6 −4 −2 2 −2 4. −4 −6 −8 2 5. −2 −2 2 −4 −2 6. 2 4 6 8 10 −2 −4 −6 −8 019 (part 1 of 4) 10.0 points Match the function with its graph. √ a) f (x) = 3 x − 3 8 7 6 6 5 4 4 3 2 2 1 0 1. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 2. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 3. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 0 4. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 -10 -8-7-6-5-4-3-2-10 -9 6 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 to (aqt73) – Drill 3 – seckin – (54330) 8 7 6 6 5 4 4 3 2 2 1 0 5. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 6. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 7. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 0 8. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 -10 -8-7-6-5-4-3-2-10 -9 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 020 (part 2 of 4) 10.0 points √ c) f (x) = 3 x + 2 8 7 6 6 5 4 4 3 2 2 1 0 1. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 2. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 3. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 0 4. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 -10 -8-7-6-5-4-3-2-10 -9 7 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 to (aqt73) – Drill 3 – seckin – (54330) 8 7 6 6 5 4 4 3 2 2 1 0 5. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 6. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 7. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 0 8. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 -10 -8-7-6-5-4-3-2-10 -9 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 021 (part 3 of 4) 10.0 points √ e) f (x) = x − 4 8 7 6 6 5 4 4 3 2 2 1 0 1. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 2. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 3. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 0 4. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 -10 -8-7-6-5-4-3-2-10 -9 8 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 to (aqt73) – Drill 3 – seckin – (54330) 8 7 6 6 5 4 4 3 2 2 1 0 5. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 6. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 7. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 0 8. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 -10 -8-7-6-5-4-3-2-10 -9 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 022 (part 4 of 4) 10.0 points √ g) f (x) = x − 4 8 7 6 6 5 4 4 3 2 2 1 0 1. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 2. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 3. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 0 4. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 -10 -8-7-6-5-4-3-2-10 -9 9 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 24 68 1 2 3 4 5 6 7 8 9 10 to (aqt73) – Drill 3 – seckin – (54330) 8 7 6 6 5 4 4 3 2 2 1 0 5. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 6. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 7. 0 -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 8 -10 -8-7-6-5-4-3-2-10 -9 7 6 6 5 4 4 3 2 2 1 0 8. -1 -2 −8 −6 −4 −2 −2 -3 -4 −4 -5 -6 −6 -7 -8 -10 -8-7-6-5-4-3-2-10 -9 10 y y 6 6 4 4 2 A -6 -4 -2 2 2 -2 4 6 x D -6 -4 -2 -4 -2 4 6 x E -6 -4 -2 1 2 3 4 5 6 7 8 9 10 -2 4 6 -6 y y 6 6 4 4 2 -2 2 2 4 6 x F -6 -4 -2 -2 -4 -4 -6 68 2 -6 Sketch the graph of 1 a) f (x) = x 2 1. None of these 1 2 3 4 5 6 7 8 9 10 2. A 3. D 4. B 24 68 5. C 6. F 1 2 3 4 5 6 7 8 9 10 7. E 024 (part 2 of 3) 10.0 points 1 b) g (x) = x + 2 2 1. B 24 68 2. D 3. C 1 2 3 4 5 6 7 8 9 10 023 (part 1 of 3) 10.0 points Consider the graph of y = x and the following transformations. 4. F 5. None of these 6. A x -4 -6 24 6 2 2 -4 -6 -4 -2 4 4 2 C 2 6 4 -6 -4 -2 x y 6 B 6 -6 y 68 4 -4 -6 24 2 -2 x to (aqt73) – Drill 3 – seckin – (54330) 7. E 025 (part 3 of 3) 10.0 points 1 c) h(x) = (x − 2) 2 1. E 2. B 3. A 4. F 5. None of these 6. C 7. D 11 ...
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This note was uploaded on 06/14/2011 for the course MATH 305G taught by Professor Cathy during the Spring '11 term at University of Texas at Austin.

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