Use the graph of F \'\'(x) to answer questions about the function F(x). This is

ID: 2854061 • Letter: U

Question

Use the graph of F ''(x) to answer questions about the function F(x).

This is the graph of F ''(x).

(a) Give the intervals where F(x) is concave up. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)

(b) Give the intervals where F(x) is concave down. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)

(c) Find the x-coordinates of the inflection points for F(x) (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

2 0 8 6 4 2 0

a) Function is concave up when f ''(x) > 0

from the graph f ''(x) is greater than zero in the interval (-,0) U (4 , 8) U (12 , )

b) Function is concave down when f ''(x) < 0

from the graph f ''(x) is less than zero in the interval (0 , 4) U (8 ,12)

c) Inflection points ==> f ''(x) = 0

from the graph f ''(x) = 0 at x = 0 , 4 , 8 , 12

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