angelaalien13
angelaalien13 angelaalien13
  • 31-01-2018
  • Mathematics
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15) PLEASE HELP WITH THIS QUESTION.

WILL MARK BRAINLIEST + 10 POINTS

15 PLEASE HELP WITH THIS QUESTION WILL MARK BRAINLIEST 10 POINTS class=

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Catya
Catya Catya
  • 31-01-2018
since the numerator (1) is positive and the denominator (x-7)^2 approaches zero; where x>0 on both sides means f(x) increases indefinitely (to infinity)
limit = infinity
vertical asymptote at x=7

If you graph it, you will see the vertical asymptote at x =7 and if you make a table using values very close to 7. (example: 6.8, 6.9, 7, 7.1, 7.2) you will see f(x) get larger and larger the closer you get to 7.
then at x=7 ... f(x) does not exist. it's gone to infinity

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