Answer the following questions for the functionf(x) = x/x2 +1defined on the interval 6 < x < 7f(x) is concave down on the interval x =PreviewPreviewto xf(x) is concave up on the interval xPreviewPreviewto xThe inflection point for this function is at x =PreviewThe minimum for this function occurs at xPreviewThe maximum for this function occurs at xPreview

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Asked Oct 3, 2019
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Answer the following questions for the function
f(x) = x/x2 +1
defined on the interval 6 < x < 7
f(x) is concave down on the interval x =
Preview
Preview
to x
f(x) is concave up on the interval x
Preview
Preview
to x
The inflection point for this function is at x =
Preview
The minimum for this function occurs at x
Preview
The maximum for this function occurs at x
Preview
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Answer the following questions for the function f(x) = x/x2 +1 defined on the interval 6 < x < 7 f(x) is concave down on the interval x = Preview Preview to x f(x) is concave up on the interval x Preview Preview to x The inflection point for this function is at x = Preview The minimum for this function occurs at x Preview The maximum for this function occurs at x Preview

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Expert Answer

Step 1

First draw the graph of f(x) by using the table:

x
-6637
-3310
10
3/10
3
6/37
6
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x -6637 -3310 10 3/10 3 6/37 6

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Step 2

Graph

20
40
20
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20 40 20

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Step 3

The given function is continuous and differential and defined on the given interval (-6,7).

The graph of the function is said to be Concave downw...

Concave
Down
Concave
Up
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Concave Down Concave Up

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Math

Calculus