$\"\"$

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The function is $\"\"$

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$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

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Equate the second derivative to xero to find the inflection points.

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$\"\"$

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So the it has inflection point at $\"\"$ .

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Use second derivative test to find the concavity.

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Consider the test interval are $\"\"$ and $\"\"$ .

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\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

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Interval

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Test Value

Sign of $\"\"$

Concavity

\"\"

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$\"\"$

\

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$\"\"$

\

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Concave Downward

\"\"

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$\"\"$

\

\

$\"\"$

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Concave upward

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The graph is concave down in the interval $\"\"$ and concave up in the interval $\"\"$ .

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$\"\"$

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The statement is true.