**Rational Functions Analysis**Use the given rational functions to answer the following questions.\[ f(x) = \frac{1}{(x - 4)} + 2 \]6. **Identify any vertical asymptotes**7. **Identify any x and y intercepts**8. **Identify any horizontal asymptotes**

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Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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9. Plot the function f(x) = for -65 xS 6. Notice that the function has two vertical asymptotes. Plot the function by dividing the domain of x into three parts: one from-6 to near the left asymptote, one between the two asymptotes, and one from near the right asymptote to 6. Set the range of the y axis from- 20 to 20. -x-6
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4. The figure below shows the graph of a rational function f. Assume that the graph has no holes. Find the equation of the function by answering each question. a. List intercepts. b. List all asymptotes. c. Degree of the numerator is n, the denominator is m. Choose the correct relation between n and m. 2- (0) n
11)For each of the following rational functions, identify all intercepts, asymptotes, and holes, showing all your steps. Then sketch a graph for each function, accurately labeling all intercepts, asymptotes, and holes. X-1 x2-9 a) f(x) = b) f(x)%3D x2-x-2 x2-2x-3
Use the given rational functions to answer the following questions. 1. Identify any vertical asymptotes 2. Identify any holes 3. Identify any x intercepts f(x): 4. Identify any horizontal asymptotes = x² + 2x - 3 x² + 8x + 15 5. Graph the rational function. Graph the asymptotes using dashed lines. DIY.
After the numerator is divided by the denominator, f(x) = a. What is the oblique asymptote of the graph of the function? b. Where does the graph of the function intersect its asymptote? c. As x→∞o, does the graph of the function approach its asymptote from above or below? x5+2x4+x² +4 x² +2 OA. The equation of the oblique asymptote is y= B. There is no oblique asymptote. becomes f(x)=x+2+ a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O above below b. The graph of the function intersects its asymptote at x = (Use a comma to separate answers as needed.) c. Does the graph of the function approach its asymptote from above or below as x→∞o? x²-2x +2

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Use the given rational functions to answer the following questions. 6. Identify any vertical asymptotes 7. Identify any x and y intercepts f(x) 8. Identify any horizontal asymptotes = 1 (x-4) +2