Calculus Sketching a Curve

[drasord]

Hello guys, I'm really stuck on this problem. Could someone provide help?

f(x) = x^2 - 1

Obtain:
(i) domain
(ii) intercepts
(iii) symmetry
(iv) asymptotes
(v) intervals of increase/decrease
(vi) local maxima and minima
(vii) concavity and points of inflection

Use these values to sketch the curve y = f(x)

Thanks!

 

[Romsek]

Hello guys, I'm really stuck on this problem. Could someone provide help?

f(x) = x^2 - 1

Obtain:
(i) domain
(ii) intercepts
(iii) symmetry
(iv) asymptotes
(v) intervals of increase/decrease
(vi) local maxima and minima
(vii) concavity and points of inflection

Use these values to sketch the curve y = f(x)

Thanks!

being really stuck on it implies that you've tried it for some considerable amount of time and have made limited progress. Since you've done that you must have a bunch of work you can show us and specific questions about where you are having trouble.

Show it and ask them.

 

[drasord]

Here was my attempt at solving the problem. My TA simply told me that it was "wrong" and that I should read the directions more clearly.

 

[srmichael]

Here was my attempt at solving the problem. My TA simply told me that it was "wrong" and that I should read the directions more clearly.

View attachment 3473

So does f(x) = x²-1 or f(x) = (2x²)/(x²-1)? You have shown both.

 

[drasord]

Ah yes, sorry. The second function is correct.

 

[drasord]

Update: I've solved this correctly. I will post results if anyone's interested.

Thanks