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/functiongrapher.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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