marianaperez
marianaperez marianaperez
  • 15-09-2020
  • Mathematics
contestada

True or False: If there is a vertical asymptote at x = a for the Function f(x), then f is undefined at the point x = a

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Clando8674
Clando8674 Clando8674
  • 15-09-2020

Answer:

False.

Step-by-step explanation:

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jimthompson5910 jimthompson5910
  • 15-09-2020

Answer: True

One example would be f(x) = 3/(x-2). Here the 'a' value is a = 2.

Plugging x = 2 into f(x) leads to a division by zero error. Visually the graph will have a vertical asymptote through 2 on the x axis. The vertical asymptote is like an electric fence in which the graph slowly approaches but never touches or crosses.

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