Tuesday

September 2, 2014

September 2, 2014

Posted by **Devin** on Saturday, October 20, 2012 at 8:57pm.

F(x)=(x+1)/(square root(x^2+1))

I got so far...

Domain: (-infinity, infinity)

Intercepts: (0,1)and(-1,0)

Asymptotes: y=O and I don't know how to get Vertiical asymptotes?

Intervals: I can't figure out how to get f prime ?

Are these right so far?

And can someone show me how to do asymptotes, intervals increase/decrease, local extrema, concavity, and inflection points?

- Calculus -
**Reiny**, Saturday, October 20, 2012 at 11:18pmso far so good

for vertical asymptotes, the denominator has to be zero (and the numerator not)

since √(x^2 + 1) can never be zero, there are no vertical asymptotes

for local extrema, take the first derivative and set it equal to zero, solving for x

sub that x back into the original equation to find the max/min.

for concavity and points of inflection, you will need the second derivative.

if y ' ' = 0 , you will have a point of inflection

if y ' ' > 0, the curve is concave upwards

if y ' ' < 0 , the curve is concave dowards for those x's

**Answer this Question**

**Related Questions**

calcus - determine domain, intercepts, asymptotes, intervals of increase and ...

Calculus - Sketch the graph of f(x)=x^2/x-2. Identify the domain, x-intercepts, ...

Calculus (final question I promise) - 1. Use calculus and algebraic methods to ...

calculus - Give a reasonable sketch, on the axes provided, of the graph of the ...

calculus - Please help!! Okay so my teacher has been away and hasent explained ...

Calculus - Consider the function f (x) = 2x^3 - 3x^2 - 72x + 7 Find and classify...

CURVE SKETCHING PLEASE HELP - Okay so my teacher has been away and hasent ...

URGENT! Last calculus question! - Hey! So, I was wondering if someone could ...

math - . Given the following function, f(x)=-x^2 -8x find: (a) vertex, (b) axis...

Calculus - please help - Can someone please do these questions step by step and ...