3. Let F(x) be a strictly decreasing continuously differentiable function on [a, b]. Then must equal to

A. |F(b)| - |F(a)|

B. F(a) - F(b)

C. F(b)-F(a)

D. |F(a)| - |F(b)|

E. F(-b) – F(-a)

 

 

Solution: The answer is B

 

By the definition of the absolute value,

 

 

Since F(x) is a strictly decreasing continuously differentiable function on [a, b], then F’(x) < 0 for all x in [a, b]. Thus,