loganblankenburg224 loganblankenburg224
  • 31-12-2020
  • Mathematics
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Write a function with the following characteristics?
- A vertical asymptote at x = 3
- A horizontal asymptote at y = 2
- Domain: {x=+-3}

Write a function with the following characteristics A vertical asymptote at x 3 A horizontal asymptote at y 2 Domain x3 class=

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sqdancefan
sqdancefan sqdancefan
  • 31-12-2020

9514 1404 393

Answer:

  the marked answer (A) is correct

Step-by-step explanation:

The domain restrictions by themselves tell you the denominator of the rational function is ...

  (x -3)(x +3) = x² -9 . . . . . matches only choice A

These domain restrictions will give vertical asymptotes at x=±3 if there is no cancelling zero in the numerator.

The horizontal asymptote at y=2 tells you the ratio of leading terms of the numerator and denominator polynomials must be 2. This requirement is also matched by choice A.

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