what does it mean when we say that the tails of the normal curve are asymptotic to the x axis? multiple choice the tails get closer and closer to the x axis but never touch it. the tails get closer and closer to the x axis and eventually touch it. the tails get closer and closer to the x axis and eventually cross this axis. the tails get closer and closer to the x axis and eventually become this axis.

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14-10-2022
Mathematics

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what does it mean when we say that the tails of the normal curve are asymptotic to the x axis? multiple choice the tails get closer and closer to the x axis but never touch it. the tails get closer and closer to the x axis and eventually touch it. the tails get closer and closer to the x axis and eventually cross this axis. the tails get closer and closer to the x axis and eventually become this axis.

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melrebecca74 melrebecca74 · Answer 1 · 2022-10-17T17:48:06-04:00

When we say that the tails of the normal curve are asymptotic to the x axis, it mean the tails get closer and closer to the x axis but never touch it

The tails of normal curve are actually asymptotic. To say they are asymptotic, then it means that they approach the x axis but never quite meet its horizons.

These tails will extends indefinitely in both directions without crossing and touching the x axis or the horizontal axis.

Tails of normal curve or normal curve itself is asymptotic to the x-axis. That is the curve touches the x-axis only at -∞ and +∞. So the curve only approaches nearer and nearer to x-axis but never touches or crosses it.

For this reason, the correct choice is get closer and closer to the x-axis but never touches it.

Learn more about normal curves here:

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