Difference between 1/x and Cosech (x) graph

[aurao2003]

Homework Statement

Hi
Can anyone tell me the difference between the 1/x and Cosech(x) graph?
Thanks

Homework Equations

The Attempt at a Solution

 

[eumyang]

You mean the hyperbolic cosecant?
$$g(x) = csch\;x = \frac{2}{e^x - e^{-x}}$$
Graph this and
$$f(x) = \frac{1}{x}$$
on your grapher and compare the table of values. Are they the same?

 

[HallsofIvy]

That's a very strange question! The two graphs are not at all the same! There are so many differences, what kind of answer are you looking for? HAVE you actually draw the graphs yourself?

 

[aurao2003]

That's a very strange question! The two graphs are not at all the same! There are so many differences, what kind of answer are you looking for? HAVE you actually draw the graphs yourself?

Yes! I have drawn them. But how would you explain the differences to someone without a mathematical understanding?

 

[aurao2003]

You mean the hyperbolic cosecant?
$$g(x) = csch\;x = \frac{2}{e^x - e^{-x}}$$
Graph this and
$$f(x) = \frac{1}{x}$$
on your grapher and compare the table of values. Are they the same?

Thanks. My question is more in relation to a basic sketch and features.