Part A:  In which interval is the radical function  f of x is equal to the square root of the quantity x squared minus 2 times x minus 24 end quantity  increasing?   (7, ∞) (–∞, –4] ∪ [6, ∞)  [–4, 6]   [6, ∞)

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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Part A:

 In which interval is the radical function  f of x is equal to the square root of the quantity x squared minus 2 times x minus 24 end quantity  increasing?  

(7, ∞)

(–∞, –4] ∪ [6, ∞)

 [–4, 6]  

[6, ∞)

Part B:

 Which of the following rational functions has a horizontal asymptote at y = 3 and vertical asymptotes at x = 5 and x = –2?  

 y equals x squared over the quantity x squared minus 3 times x minus 10 end quantity

   y equals 3 times x squared over the quantity x squared minus 3 times x minus 10 end quantity  

 y equals x squared over the quantity x squared plus 3 times x minus 10 end quantity  

 y equals 3 times x squared over the quantity x squared plus 3 times x minus 10 end quantity 

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