Asymptote

J

jinx24

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Jan 23, 2006
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I have my prerequisite test tomorrow evening and I have a few more things I just don't understand. I will just post the ones I am having the most difficulty with.

1) State the asymptote of the function: g(x) = 8^x =2 I don't know what kind of asymptote I am looking for, if it even matters.

2) Find the exponential function which passes through the points (0 , 1) and (1 , 9).
I don't know where to start with this one.

Thanks for all the help!
Jenny
 
Oops...I typed it wrong.

State the asymptote of the function

g(x) = 8^(x) +2

Thanks for the link to the other post. Although I still don't understand it, it gave me a guide to follow and practice with. I will look into it some more and practice. I will come back if I have questions.

Jenny
 
Well, then as x increases in a negative direction,

8^x --> 0

(8^x) + 2 --> ????
 
I'm sorry...I really don't understand this. I don't know what I am looking for or how to do it. Do I move the 2 to the other side?
 
jinx24 said:
I'm sorry...I really don't understand this. I don't know what I am looking for or how to do it. Do I move the 2 to the other side?
Click to expand...
You THINK about it.

x in creases in the negative direction...

8^(-1) = 0.125
8^(-2) = 0.015625
8^(-4) = 0.000244141
8^(-8) = 0.000000060

Looks to me like it is approaching zero.

[8^(-1)]+2 = 1.125
[8^(-2)]+2 = 2.015625
[8^(-4)]+2 = 2.000244141
[8^(-8)]+2 = 2.000000060

Looks to me like it is approaching...???
 
Ok. I think I see it now. As x increase in the negative direction, it approaches 0. As x increases in the negative direction plus 2, it approaches 2. If it were (8^x) + 10, it would approach 10.

Well, I just got back from taking my first test, and I got an 88 on it. I really didn't think I would do that well on it since I have not taken a math course in 6 years. So, thank you all so much for helping me and guiding me through all of my questions.

Jenny
 
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