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Which of the following is true?
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Which of the following is true?

Which of the following is true?-example-1
User Dvorn
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1 Answer

3 votes

Answer:

(D) f''(1) < f(1) < f'(1)

Explanation:

The x-intercept at x=1 means f(1) = 0.

The positive slope of the function at that point means f'(1) > 0.

The downward concavity of the function at that point means f''(1) < 0.

So, in order from least to greatest, we have ...

f''(1) < f(1) < f'(1) . . . . matches choice (D)

User Achoukah
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