Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Question #c4a4c

1 Answer

Dec 16, 2016

Yes.

Explanation:

Let #f(x) = {(-sqrt(1-x)+2,"if", x <= 1),(-(x-1)^2+2,"if",x>1):}#.

#f# is concave up on #(-oo,1)# and concave down on #(1,oo)# so #(1.2)# is an inflection point. It is also a maximum point.

Here is the graph: (Sorry the image is a little small.)

enter image source here

Related questions

See all questions in Determining Points of Inflection for a Function

Impact of this question

1295 views around the world

You can reuse this answer
Creative Commons License