Question

Test: Test III This Question: 7 pts 15 of 16 (0 complete) Determine the intervals on which the following function is concave up or concave down. Identify any inflection points. f(x) = x² - 4x + 9 Determine the intervals on which the given function is concave up or concave down. Select the correct choice below and fill in the answer box(es) to complete your c (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as need O A. The function is concave up on and concave down on OB. The function is concave down on O c. The function is concave up on Locate any inflection points of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. An inflection point occurs at x = (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There are no inflection points for f. Clintolat

Answer 1

f() = -47 +9 2 f'() d dat ( 2-LPX?+9) dal d (f()) 4*?-1241 +0 40²_1222 f'(m) f"in [ f'(93 { 4x²-12 n² dy 12n² - 240 - f"10 12n²_240 for inflection point, f'(2)=0 12n²_240=0 2-0, 7-2 influelin point, n=0,2 (tve) (-ve) (tre) 0 2 f(n) is concave up When [f" (a) Sign f"(w is fusiline ise of "(12 > 0 (-0,0) U12,00) f"en is nyaline ief"101<d le. fino is Concave down when lies (0,2) conclusion (A) Function is concave up on (-0,0) U12,00) and Concave A down inflection point (012) Am occurs at M = 0,2 An