The function f has the property that f(x) , f' (x) , and f" x are negative for all values of x
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The function f has the property that f(x) , f' (x) , and f" x are negative for all values of x

[From: ] [author: ] [Date: 12-06-25] [Hit: ]
the graph must be concave down everywhere.Hope that helps!......
My college is closed and I am trying to review ahead for the semester. I will provide the link , can someone please explain problem #8 to me ? Thanks so much! It means a lot
http://www.baruch.cuny.edu/sacc/documents/2205AdditionalProblemsfortheFEM.pdf

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Recall what information each graph tells you:

f(x) represents the y - values

f ' (x) represents increasing or decreasing

f ' ' (x) represents concavity (up or down)

If f(x) is negative, the graph must lie below the x-axis, because all the y-values are negative.

If f ' (x) is negative, it must be decreasing everywhere.

If f ' ' (x) is negative, the graph must be concave down everywhere.

ANSWER: D

Hope that helps!
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