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10. Graph y = log (x+1)+7 A. C. -12 -12 В. D. ... -123 12 1 -12 4 -12

10. Graph y = log (x+1)+7 A. C. -12 -12 В. D. ... -123 12 1 -12 4 -12

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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10. Graph y = log (x +1) +7 A. C. 12- 44 12 x -12 8 12 В. D. -12-8 12 x -12 4 -4- 4. 8- -12+ II. Solve for x given the inequality log: (2x – 1) > log3 (x + 2) A. (-3, +0) B. (3,+0) C. (-00, -3) D. (-o, 3) 12. Solve for x given the inequality -2 < log x <2 A. (-125,0) в. (0,125) C.(-125, 0] D. [0, 125) 13. What is the domain of the function, y = logn z5(x + 2)? A. (x € R} B. (x]x > 0} C. (x|x > 2} D. (x|x >-2) 14. What is the range of the function, y = logozs(x + 2)? A. {y E R) B. (yly > 0} C. {yly > 2) D. (yly > -2)
Transcribed Image Text:10. Graph y = log (x +1) +7 A. C. 12- 44 12 x -12 8 12 В. D. -12-8 12 x -12 4 -4- 4. 8- -12+ II. Solve for x given the inequality log: (2x – 1) > log3 (x + 2) A. (-3, +0) B. (3,+0) C. (-00, -3) D. (-o, 3) 12. Solve for x given the inequality -2 < log x <2 A. (-125,0) в. (0,125) C.(-125, 0] D. [0, 125) 13. What is the domain of the function, y = logn z5(x + 2)? A. (x € R} B. (x]x > 0} C. (x|x > 2} D. (x|x >-2) 14. What is the range of the function, y = logozs(x + 2)? A. {y E R) B. (yly > 0} C. {yly > 2) D. (yly > -2)
What I Know (Post-Assessment) Direction: Write the letter that corresponds to the best answer on your answer sheet. 1. Express 273 = 3 in logarithmic form. A. log, 27 = 3 B. log: 3 = 27 C. log27 3 = D. log, 3 = 27 2. Solve for x given the equation, log, 81 = 4. В. 9 A. 3 C. 20.25 D. 324 3. Evaluate logm m²n_ A. n B. n? C. mn D. 2n 4. Evaluate log, 45. A. 4 В. 5 С. 7 D. 10 5. Which of the following statements is true? A. The domain of a transformed logarithmic function is always {x € R} B. Vertical and horizontal translations must be performed before horizontal and vertical stretches/compressions. C. A transformed logarithmic function always has a horizontal asymptote. D. The vertical asymptote changes when a horizontal translation is applied. 6. Which of the following is NOT a strategy that is often used to solve logarithmic equations? A. Express the equation in exponential form and solve the resulting exponential equation. B. Simplify the expressions in the equation by using the laws of logarithms. C. Represent the sums or differences of logs as single logarithms. D. Square all logarithmic expressions and solve the resulting quadratic equation. 7. Solve for x given the equation 5²-× = ; A. 125 в. -1 C. 5 D.? 8. Solve for x given the equation log (3x +1) = 5. В. 8 A С. 300 D. 33, 333
Transcribed Image Text:What I Know (Post-Assessment) Direction: Write the letter that corresponds to the best answer on your answer sheet. 1. Express 273 = 3 in logarithmic form. A. log, 27 = 3 B. log: 3 = 27 C. log27 3 = D. log, 3 = 27 2. Solve for x given the equation, log, 81 = 4. В. 9 A. 3 C. 20.25 D. 324 3. Evaluate logm m²n_ A. n B. n? C. mn D. 2n 4. Evaluate log, 45. A. 4 В. 5 С. 7 D. 10 5. Which of the following statements is true? A. The domain of a transformed logarithmic function is always {x € R} B. Vertical and horizontal translations must be performed before horizontal and vertical stretches/compressions. C. A transformed logarithmic function always has a horizontal asymptote. D. The vertical asymptote changes when a horizontal translation is applied. 6. Which of the following is NOT a strategy that is often used to solve logarithmic equations? A. Express the equation in exponential form and solve the resulting exponential equation. B. Simplify the expressions in the equation by using the laws of logarithms. C. Represent the sums or differences of logs as single logarithms. D. Square all logarithmic expressions and solve the resulting quadratic equation. 7. Solve for x given the equation 5²-× = ; A. 125 в. -1 C. 5 D.? 8. Solve for x given the equation log (3x +1) = 5. В. 8 A С. 300 D. 33, 333
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