karissaripple karissaripple
  • 18-01-2018
  • Mathematics
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Which of the following is true?

Which of the following is true class=

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sqdancefan
sqdancefan sqdancefan
  • 01-10-2019

Answer:

  (D)  f''(1) < f(1) < f'(1)

Step-by-step 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)

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