Posted by **Rachel** on Friday, January 31, 2014 at 5:26pm.

Let f be the function given by f(x)= 2x/(sqrt(x^2 +x +1))

c. Write an equation for each horizontal asymptote of the graph of f.

d. Find the range of f. Use f'(x) to justify your answer.

- Calculus -
**Damon**, Friday, January 31, 2014 at 5:50pm
when x gets really big positive

this is

y = 2 (big) / sqrt(big ^2)

which is y = 2

when x gets really big negative

y = 2 (-big number) / big number

which is y = - 2

well, let's look at the derivative since they say so

[ (x^2+x+1)2 - 2x(.5)(x^2+x+1)^-.5(2x) ]/(x^2+x+1)

yuuk, whose idea was this?

I suggest going to

http://www.mathsisfun.com/data/function-grapher.php

and put in

2 x/(x^2+x+1)^.5

- Calculus -
**Rachel**, Friday, January 31, 2014 at 10:00pm
Thank you!

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