Are my answers right about these graph points? (derivs)



This is not the graph of a function because it fails the vertical line test.

[attachment=0:2qev2lx4]screwup.JPG[/attachment:2qev2lx4]

The first few exercises look correct.

As for the rest, here are two questions for you:

What is the slope at point H ?

What is the significance of the second derivative's sign, in those exercises ?

 
Re:

mmm4444bot said:


This is not the graph of a function because it fails the vertical line test.

[attachment=0:1uecy9ai]screwup.JPG[/attachment:1uecy9ai]


mmm4444bot,

this looks to be hand-drawn. I think point \(\displaystyle M\) was intended to be a point of inflection
with a vertical tangent line there, despite the graph looking to be "bulging" to the side(s)
near point \(\displaystyle M.\)
 
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