Answers for the lesson Graph Simple Rational Functions
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1 LESSON 5. Answers for the lesson Graph Simple Rational Functions Skill Practice. range; domain. No; the denominator is an eponential epression, not a polnomial aes than the graph of 5 and is located in quadrants and 4. Both graphs have the same asmptotes, domain, and range. 6. aes than the graph of 5. Both graphs lie in the st and 3rd quadrants and have the same asmptotes, domain, and range. Copright Houghton Mifflin Harcourt Publishing Compan. All rights reserved. 4. aes than the graph of 5. Both graphs lie in the st and 3rd quadrants and have the same asmptotes, domain, and range. The graph lies closer to the aes than the graph of 5 and is located in quadrants and 4. Both graphs have the same asmptotes, domain, and range. Algebra Answer Transparencies for Checking Homework 53
2 7. 9. g().. 8. The graph lies closer to the aes than the graph of 5. Both graphs lie in the st and 3rd quadrants and have the same asmptotes, domain, and range. f(). aes than the graph of 5 and is located in quadrants and 4. Both have the same asmptotes, domain, and range. h() Copright Houghton Mifflin Harcourt Publishing Compan. All rights reserved. 4 aes than the graph of 5. Both graphs lie in the first and third quadrants and have the same asmptotes, domain, and range. aes than the graph of 5 and is located in quadrants and 4. Both have the same asmptotes, domain, and range. Algebra Answer Transparencies for Checking Homework 54
3 . ecept, range: all real numbers ecept 4. f() ecept, range: all real numbers ecept 3. ecept, range: all real numbers ecept 5. Copright Houghton Mifflin Harcourt Publishing Compan. All rights reserved. 3. ecept, range: all real numbers ecept 4 ecept, range: all real numbers ecept 7 Algebra Answer Transparencies for Checking Homework 55
4 6. ecept 7, range: all real numbers ecept ecept, range: all real numbers ecept 4. ecept 4, range: all real numbers ecept 3 Copright Houghton Mifflin Harcourt Publishing Compan. All rights reserved. 8. ecept, range: all real numbers ecept g() 9 ecept 7, range: all real numbers ecept 5 3 Algebra Answer Transparencies for Checking Homework 56
5 . 5. The graph should be 5 8, not ecept 4, range: all real numbers ecept h() 6. The vertical asmptote should be 5, not 5. Copright Houghton Mifflin Harcourt Publishing Compan. All rights reserved. 3. D ecept 9, range: all real numbers ecept 9 4. a. The graph will lie farther from the asmptotes and will be a reflection in either asmptote. b. The vertical asmptote is shifted left 4 units. c. The horizontal asmptote is shifted up 4 units. 7. ecept 3, range: all real numbers ecept Algebra Answer Transparencies for Checking Homework 57
6 ecept 3, range: all real numbers ecept 4 3 ecept 5, range: all real numbers ecept 9. ecept 5, range: all real 4 numbers ecept 5 4 Copright Houghton Mifflin Harcourt Publishing Compan. All rights reserved. 3. ecept, range: all real numbers ecept 4 3. f() ecept, range: all real numbers 3 ecept Algebra Answer Transparencies for Checking Homework 58
7 Copright Houghton Mifflin Harcourt Publishing Compan. All rights reserved g() ecept 3, range: all real numbers ecept 5 h() ecept, range: all real numbers ecept Sample answer: f() 5 5 a h a k kh h k( h) ( h) Problem Solving 37. c 5 Average monthl cost 38. c 5 43m 5 m c m Months of service 5 months Average monthl cost 59m m c m Months of membership months Algebra Answer Transparencies for Checking Homework 59
8 Copright Houghton Mifflin Harcourt Publishing Compan. All rights reserved. 39. a. About 4.5 sec. Sample answer: Substitute 5 for T to find t ø.89. Since ou are 5 kilometers awa, multipl t b 5 to get 5(.89) ø 4.5 seconds. b. Time (sec) 4. a. Cost (thousands of dollars) t T Air temperature (8C) about 3.98C Percent (as a decimal) domain:, range: 5 b. $ ; $857.43; $4,; no. Sample answer: The values are not increasing at a constant rate. 4. a. approaching: f 5,48, 74 r, b. Frequenc (Hz) moving awa: f 5,48, 74 r f f f r Speed (mi/h) c. The frequenc of a sound that is approaching is greater than that of a sound that is moving awa. Algebra Answer Transparencies for Checking Homework 6
9 4. s 5 Average speed (knots) 3 5t t 3 s Time using motor (hr) Copright Houghton Mifflin Harcourt Publishing Compan. All rights reserved. t Algebra Answer Transparencies for Checking Homework 6
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Solve. 5. x = 7 0 6 7 5 4 5 [D] 7. x + x 9x 8 = 0, ±,, 9 [D] ±,. x+ 9 = x 0 5 5, 7 [D] 7 4. Solve the equation. = b 8 [D] 7 5. Solve: 5 x x =0 6, 4 4, 4 4, 5 [D], 4 4 6. Solve: 6+ n < 4 Solve. m r mn n>
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