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# How do I draw this asymptote graph? watch

1. As part of a C3 integration question, I need to sketch the graph of

I have absolutely no idea how to do this.
2. (Original post by JordanL_)
As part of a C3 integration question, I need to sketch the graph of

I have absolutely no idea how to do this.
Could you link us to the full question or take a picture of it? Does the question have a pre-existing diagram or explanation?
3. (Original post by JordanL_)
As part of a C3 integration question, I need to sketch the graph of

I have absolutely no idea how to do this.
bit hard but what happens as x gets very large and positive?
4. (Original post by Zacken)
Could you link us to the full question or take a picture of it? Does the question have a pre-existing diagram or explanation?
Here it is, no diagram or anything (q8):

(Original post by TeeEm)
bit hard but what happens as x gets very large and positive?
I guess y increases and the gradient decreases?
5. (Original post by JordanL_)

....
I suggest check what y does.
you take a calculator and substitute larger and large values of x (positive)
then repat with smaller and smaller values of x (smaller = negative and larger)
6. (Original post by JordanL_)
As part of a C3 integration question, I need to sketch the graph of

I have absolutely no idea how to do this.
Differentiate and find turning points.

As we have .

I will leave you in TeeEm's hands now as I am going to bed.
7. (Original post by TeeEm)
I suggest check what y does.
you take a calculator and substitute larger and large values of x (positive)
then repat with smaller and smaller values of x (smaller = negative and larger)
Okay, thanks - so I see that as x tends to infinity/negative infinity, y will tend to +- 1. I assumed that I was meant to know how to sketch it just from the equation, but I guess not.

Is that the method you'd use in an exam - just substitute values of x to find the asymptotes? Or do it the way Zacken did it?
8. (Original post by JordanL_)
Okay, thanks - so I see that as x tends to infinity/negative infinity, y will tend to +- 1. I assumed that I was meant to know how to sketch it just from the equation, but I guess not.

Is that the method you'd use in an exam - just substitute values of x to find the asymptotes? Or do it the way Zacken did it?
both methods work...
whatever works for you
9. Okay, thanks both for the help!

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