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From graph, find interval concave upward/downward

I have to find "The open intervals on which f is concave upward and downward"

I put the image as an attachment

I know inflection points at x=2, x=4,x=5.

I said it was concave upward (2,4) and concave downward on (0,2). The inflection point is where concavity begins/ends right? I can't seem to get the right answer.Any help would be great

Re: From graph, find interval concave upward/downward

Quote:

Originally Posted by

**katiebear128** I have to find "The open intervals on which f is concave upward and downward"

I put the image as an attachment

I know inflection points at x=2, x=4,x=5.

I said it was concave upward (2,4) and concave downward on (0,2). The inflection point is where concavity begins/ends right? I can't seem to get the right answer.Any help would be great

what about describing the concavity over the remainder of the graph ... the interval (4,7) ?

Re: From graph, find interval concave upward/downward

& concave up (5,7). concave down (4,5). Thanks I got it right! I forgot about those completely...I guess because they are only "half-parabolas"