SOLUTION: Describe the behavior of y=x^-10 as x→0 and x→infinity. This is a bonus question for the next chapter, but can someone help me figure it out please?

Algebra ->  Trigonometry-basics -> SOLUTION: Describe the behavior of y=x^-10 as x→0 and x→infinity. This is a bonus question for the next chapter, but can someone help me figure it out please?       Log On


   

Question 981804: Describe the behavior of y=x^-10 as x→0 and x→infinity.

This is a bonus question for the next chapter, but can someone help me figure it out please?
Found 2 solutions by jim_thompson5910, macston:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E%28-10%29+=+1%2F%28x%5E%2810%29%29

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As x gets closer to 0, the value of 1%2F%28x%5E%2810%29%29 will get larger towards positive infinity. Plug in x = 0.1, x = 0.01, x = 0.001, etc to find that 1%2F%28x%5E%2810%29%29 is getting larger.

So as x --> 0, y --> +infinity

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As x heads off to infinity, 1%2F%28x%5E%2810%29%29 gets smaller and smaller. You follow the same idea from the previous part above, but the idea is reversed. So

x --> +infinity, y --> 0



Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
As x approaches zero, y approaches infinity and as x approaches infinity, y approaches zero.
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+graph%28+800%2C+800%2C+-5%2C+5%2C+-5%2C+5%2C+y=x%5E-10%29+