Suppose that on the interval , is positive and concave up. Furthermore, assume t

Question

Suppose that on the interval , is positive and concave up. Furthermore, assume that exists and let . Use this information to answer the following questions.



To answer the questions, choose your answers from the following list:

CU (concave up), CD (concave down), f(x) , f'(x) , f''(x) , 0 , or 1 .

a.) on .

b.) , where and .

c.) on .

d.) is on . Suppose that on the interval is positive and concave up. Furthermore, assume that exists and let . Use this information to answer the following questions.To answer the questions, choose your answers from the following list: CU (concave up), CD (concave down), f(x) , f'(x) , f''(x) , 0 , or 1 .

Explanation / Answer

a. 0 since f(x) is CU and positive

b.A= f '(x) f''(x)= 2*(f'x^2+ fx*f''x)

B= F(X)

C. 0 since f'' > 0 g'' has to be greater than zero

D. Concave up since fx is concave upwward the characteristic wont change on squaring.

You can confirm all answer by taking f(x)=X^2

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