Thank you for taking the time, John. At 70, I use your lessions, review really from long ago, to keep my mind active and hopefully, avoid dementia. Wish you were in the videos.
Graphing rational functions used to feel so tricky, especially with asymptotes! This video explains it in such a clear way. I’ve also found that practicing with tools like SolutionInn really helps me understand how to plot graphs step by step and get better at math.
guess I'd replace "f(x)" with "y" y = 2/(x+5) observations #1 x /= -5 else y approaches infinity #2 larger x => smaller y and "approaches" 0 i.e. "asymptotic" #3 for x going negative past -5 all y values are negative conversely, x going positive from -5 results in positive y values. #4 the graph is classic asymptotic.
Thank you for taking the time, John. At 70, I use your lessions, review really from long ago, to keep my mind active and hopefully, avoid dementia. Wish you were in the videos.
Graphing rational functions used to feel so tricky, especially with asymptotes! This video explains it in such a clear way. I’ve also found that practicing with tools like SolutionInn really helps me understand how to plot graphs step by step and get better at math.
thanks for the lesson
guess I'd replace "f(x)" with "y"
y = 2/(x+5)
observations
#1 x /= -5 else
y approaches infinity
#2 larger x => smaller y
and "approaches" 0
i.e. "asymptotic"
#3 for x going negative past -5 all y values are negative
conversely, x going positive from -5 results in positive y values.
#4 the graph is classic asymptotic.
He can spell Asymptotes correctly but he pronounces them asymptopes. I don't get it.