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Here is a graph of the derivative y' of a continuous, differentiable function. For approximately what values of x between −5 and 5 does the original function y have inflection points?

Find limit as x approaches 3.5 [[x-2]]/x
(Remember that [[x]] is the greatest integer function.)

A) ***-1/3.5 ( My answer)
B) 1/3.5
c)0
D)-2/3.5
E) Does NOT Exists

The altitude of a kite is graphed here (the y-axis is in increments of 10 feet; the t-axis is in minutes). Over which intervals is the kite accelerating upward?

A)[0,15) U (4.5, 7.75)

B) [0, 10]

***C) (3, 6.3) ( I think its this answer im not sure)

D)(0, 3) ∪ (6.3, 10)

E) Cannot be determined

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3 answers
  1. inflection points are where y"=0.
    That is, where y' has a max or min.

    [[x-2]]/x -> [[3.5-2]]/3.5 = 1/3.5

    upward acceleration is where the velocity is increasing. That is, where the graph is concave up.

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  2. For my third question is that correct??

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  3. Next time please number your questions if you have multiple questions.
    In fact, it is preferable to make separate posts for different questions so that answers and questions will not be confused.

    If you are referring to the following question:
    "The altitude of a kite is graphed here (the y-axis is in increments of 10 feet; the t-axis is in minutes). Over which intervals is the kite accelerating upward?"
    please note that we do not have access to the graph. You described the grid, but nothing about the graph. Please post a link to an image of the graph if you'd like the question answered. In fact, make a new post.

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