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Consider the function f (x) = (G - 2 and answer the following questions. 1. Uşe an exponent rule to rewrite f (x) using a base which is an integer instead of a fraction. Explain how you decide what exponent rule will help here, and show the algebraic work you (Check in with me or with your classmates on the discussion board before going on after this step, to make sure you have the easiest possible time with the rest of the assignment!) f(m) aftoEUQu houo rouritten it? (For the rest of the guestions you will use the rewritten version you created.)

Consider the function f (x) = (G - 2 and answer the following questions. 1. Uşe an exponent rule to rewrite f (x) using a base which is an integer instead of a fraction. Explain how you decide what exponent rule will help here, and show the algebraic work you (Check in with me or with your classmates on the discussion board before going on after this step, to make sure you have the easiest possible time with the rest of the assignment!) f(m) aftoEUQu houo rouritten it? (For the rest of the guestions you will use the rewritten version you created.)

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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A ttps://pierce.instructure.com/coukses/2149574/pages/Part%201%20of%20Week%208%20Colla.. 5 Immersive Reac D11 11792 > Pages > Part 1 of Week 8 Collaborative Written Assignment Part 1 of Week 8 Collaborative Written Assignment A Consider the function f (x) = G* - 2 and answer the following questions. 1. Uşe an exponent rule to rewrite f (x) using a base which is an integer instead of a fraction. Explain how you decide what exponent rule will help here, and show the algebraic work you do (Check in with me or with your classmates on the discussion board before going on after this step, to make sure you have the easiest possible time with the rest of the assignment!) 2. What is the parent function of f (x) after you have rewritten it? (For the rest of the questions you will use the rewritten version you created.) 3. What transformations have taken place, of the parent function, to get to f (x)? Describe in words, and explain what parts of the equation give you this information. 4. What is the domain and range of the parent function, and what is the domain and range of f (x)? How do you know? 5. Graph both the parent function and f (x) on the same coordinate system, labeling at least three points on the parent function and labeling where those points moved to under the transformations, and labeling any asymptotes for both. Describe how you know where the points and asymptotes move at each step. 6. What algebraic process will you use to find the intercepts (x and y) of f (x)? Find the intercepts, showing all work. 7. Graph f1 (x) on the same coordinate axes, labeling the points corresponding to those you labeled on the graph of f (x), and labeling any asymptotes. Explain how you got your graph using properties of inverses. What is the domain and range? Why? 8. Algebraically find f-1 (x), showing all work, and explaining how you choose the process. 9. What is the parent function of f-1 (x)? What transformations have taken place, to get from this parent function, to f-1 (x)? Does your graph match these transformations? Does the the inverse you calculated algebraically? Explain. domain and range on your graph, match the domain and range 10. What are the intercepts (x and y) of f-1 (z)? Why do you not need to do additional calculations to find them?
Transcribed Image Text:A ttps://pierce.instructure.com/coukses/2149574/pages/Part%201%20of%20Week%208%20Colla.. 5 Immersive Reac D11 11792 > Pages > Part 1 of Week 8 Collaborative Written Assignment Part 1 of Week 8 Collaborative Written Assignment A Consider the function f (x) = G* - 2 and answer the following questions. 1. Uşe an exponent rule to rewrite f (x) using a base which is an integer instead of a fraction. Explain how you decide what exponent rule will help here, and show the algebraic work you do (Check in with me or with your classmates on the discussion board before going on after this step, to make sure you have the easiest possible time with the rest of the assignment!) 2. What is the parent function of f (x) after you have rewritten it? (For the rest of the questions you will use the rewritten version you created.) 3. What transformations have taken place, of the parent function, to get to f (x)? Describe in words, and explain what parts of the equation give you this information. 4. What is the domain and range of the parent function, and what is the domain and range of f (x)? How do you know? 5. Graph both the parent function and f (x) on the same coordinate system, labeling at least three points on the parent function and labeling where those points moved to under the transformations, and labeling any asymptotes for both. Describe how you know where the points and asymptotes move at each step. 6. What algebraic process will you use to find the intercepts (x and y) of f (x)? Find the intercepts, showing all work. 7. Graph f1 (x) on the same coordinate axes, labeling the points corresponding to those you labeled on the graph of f (x), and labeling any asymptotes. Explain how you got your graph using properties of inverses. What is the domain and range? Why? 8. Algebraically find f-1 (x), showing all work, and explaining how you choose the process. 9. What is the parent function of f-1 (x)? What transformations have taken place, to get from this parent function, to f-1 (x)? Does your graph match these transformations? Does the the inverse you calculated algebraically? Explain. domain and range on your graph, match the domain and range 10. What are the intercepts (x and y) of f-1 (z)? Why do you not need to do additional calculations to find them?
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