Question

Given the graph of f'(2) below, where the Domf (t) = (-0,0). Find All intervalls) to which {{z} الخيا نه -6 -5 -2 1 2 3 -2 -3

Answer 1

giron that Dom ffe) = (-00,00) = R defined & XER. Now form giron graph f bc) does not f(e) in well excist at x= 2 foto hot oiferon tabte at T = 2, we have. ;). Again Now form graph f'() >o on interval (-0, -9) U -5, 1) ule, ) f(e) is increasing ta -00,-9) UF 5,1) u (4, on interval ao from graph of f'ce) we have a f'(c) Lo on interval (-9,-5) V (1, 2) U2,4) f() is decreasing on interval €9,-5) U (1, 2) U(2,4) 11

From graph f6c) is decreasing of of f(x) f(x) we have on interval (-os, -6) U6-2,2) U (2,3) 7 f"&c) <o interval 600,-6) U (2, 2) 4(2,3), » f 6C) is concave down an interval E8,-6) Uf- 2, 2) U (2,3) w f bc) is increasing from großen of f') we have on interval (-6,-2) u (3, 0) f (x) > 0 on interval (-6,-2) u (3,0) » f 6c) ip concave up on interval (-6,2) U U (3,9)

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