Answer the questions about the following function. X+4 X-8 f(x) = (a) Is the point (6,- 11) on the graph of f? (b) If x = 1, what is f(x)? What point is on the graph of f? (c) If f(x) = 2, what is x? What point(s) is (are) on the graph of f? (d) What is the domain off? (e) List the x-intercepts, if any, of the graph of f. (f) List the y-intercept, if there is one, of the graph of f. (a) Choose the correct answer below. OA. Yes, because substituting x= -11 into the given equation results in 6. O B. Yes, because substituting x = 6 into the given equation results in - 11. O C. No, because substituting x= -11 into the given equation does not result in 6. D. No, because substituting x =6 into the given equation does not result in - 11. (b) If x= 1,f(x)=. (Simplify your answer.)

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Answer the questions about the following function.

\[ f(x) = \frac{x + 4}{x - 8} \]

(a) Is the point (6, -11) on the graph of f?  
(b) If x = 1, what is f(x)? What point is on the graph of f?  
(c) If f(x) = 2, what is x? What point(s) is (are) on the graph of f?  
(d) What is the domain of f?  
(e) List the x-intercepts, if any, of the graph of f.  
(f) List the y-intercept, if there is one, of the graph of f.  

---

(a) Choose the correct answer below.

- ○ A. Yes, because substituting \( x = -11 \) into the given equation results in 6.
- ○ B. Yes, because substituting \( x = 6 \) into the given equation results in -11.
- ○ C. No, because substituting \( x = -11 \) into the given equation does not result in 6.
- ✔ D. No, because substituting \( x = 6 \) into the given equation does not result in -11.

(b) If \( x = 1 \), \( f(x) = \_\_\_\_ \).  
(Simplify your answer.)
Transcribed Image Text:Answer the questions about the following function. \[ f(x) = \frac{x + 4}{x - 8} \] (a) Is the point (6, -11) on the graph of f? (b) If x = 1, what is f(x)? What point is on the graph of f? (c) If f(x) = 2, what is x? What point(s) is (are) on the graph of f? (d) What is the domain of f? (e) List the x-intercepts, if any, of the graph of f. (f) List the y-intercept, if there is one, of the graph of f. --- (a) Choose the correct answer below. - ○ A. Yes, because substituting \( x = -11 \) into the given equation results in 6. - ○ B. Yes, because substituting \( x = 6 \) into the given equation results in -11. - ○ C. No, because substituting \( x = -11 \) into the given equation does not result in 6. - ✔ D. No, because substituting \( x = 6 \) into the given equation does not result in -11. (b) If \( x = 1 \), \( f(x) = \_\_\_\_ \). (Simplify your answer.)
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