I was asked to graph the function $f(x) = 2x + e^{-x}$. I was unable to tell that there is a slant asymptote at $y = 2x$, and my teacher did not give an explanation of that. How does one find the slant asymptotes for functions with exponential variables?
Thanks so much for the help!
$2x+e^{-x}>2x$ for all x, for x to $ \infty$ $e^{-x}->0$ so $f(x)->2x $ you can see that for example $x=10: f(10)=2*10+0.000045$ so very close.