Math Help - Function help..

1. Function help..

Need some help here..

Consider the function f(x) = x / x+ 2

a) show that f'(x) > 0 for all x in the domain

b) State the equation of the horizontal asymptote of y = f(x)

Thanks

2. Re: Function help..

Originally Posted by Deci
Need some help here..

Consider the function f(x) = x / x+ 2
You mean f(x)= x/(x+ 2), right? What you wrote is f(x)= 1+ 2= 3!

a) show that f'(x) > 0 for all x in the domain
What is the derivative? Do you know the "quotient rule"?

b) State the equation of the horizontal asymptote of y = f(x)
Dividing both numerator and denominator of $f(x)= \frac{x}{x+ 1}$ gives
$\frac{1}{1+ \frac{1}{x}}$
What happens as x "goes to infinity"?

Thanks

4. Re: Function help..

Thanks.. i solved a .. 1 by infinity is 0. So y=1 is the asymptote. Is it?