b5aff5…: “Like a foggy water”

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Worked Out Examples Problem Videos

The following video may be helpful when trying to solve the problems in this practice section. Note that you may skip to the end of the video to get completion credit for this page if you don’t need to watch them.

Practice Problems

1 : Determine if the following function has any horizontal asymptotes. $f(x) = \frac {\sage {p1f1top}}{\sage {p1f1bot}}$ Left Horizontal Asymptote (if there is no asymptote, enter $\infty$ ) $\answer {\sage {p1leftHA}}$

Right Horizontal Asymptote (if there is no asymptote, enter $\infty$ ) $\answer {\sage {p1rightHA}}$

To find horizontal asymptotes, you want to take the limit as $x$ approaches infinity (for the right HA) and negative infinity (for the left HA).

Very nice! Don’t forget you can hit the green “Try another” button at the top right corner to get new versions of the problems for unlimited practice!

2 : Determine if the following function has any horizontal asymptotes. $g(x) = \sage {p2f1}$ Left Horizontal Asymptote (if there is no asymptote, enter $\infty$ ) $\answer {\sage {p2leftHA}}$

Right Horizontal Asymptote (if there is no asymptote, enter $\infty$ ) $\answer {\sage {p2rightHA}}$

To find horizontal asymptotes, you want to take the limit as $x$ approaches infinity (for the right HA) and negative infinity (for the left HA).

Very nice! Don’t forget you can hit the green “Try another” button at the top right corner to get new versions of the problems for unlimited practice!