Asked by Kate
What does it mean for concavity of the original graph if there is an asymptote in the f'' graph?
Answers
Answered by
Steve
It depends on the graph.
Consider y = 1/x
y" has an asymptote at x=0, as does y. Concavity changes there.
Now, with y=1/x^2
Same thing, but both sides are concave up.
Consider y = 1/x
y" has an asymptote at x=0, as does y. Concavity changes there.
Now, with y=1/x^2
Same thing, but both sides are concave up.