A function f has f(5) = 20 and f ′(5) = 2, and f ′′(x) < 0 for x ≥ 5. Which of the following values for f(7) is possible __________________________________ ?. Hint draw a picture. Find the equation of the tangent line and use the tangent line to help discover which value is possible. The supplement to No 6 Day Test will help with this question.     a.26 b.24 c.22 d.10 e.none of these

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Asked Sep 30, 2019
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A function f has f(5) = 20 and f ′(5) = 2, and f ′′(x) < 0 for x ≥ 5. Which of the following values for f(7) is possible __________________________________ ?.

 

Hint draw a picture. Find the equation of the tangent line and use the tangent line to help discover which value is possible. The supplement to No 6 Day Test will help with this question.

 

 

 

 

  a.

26

  b.

24

  c.

22

  d.

10

  e.

none of these

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Expert Answer

Step 1

Given,

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f(5) 20, f(5)2

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Step 2

The tangent line is given by

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y m(x-x) which can be written in the y-f(a) fa)(x-a) , where a is the point on x-axis

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Step 3

Here, a = 5

Plugging value of a...

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yf5)f5)x5) -(1)

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Math

Calculus

Derivative