For the given function, identify where the slope is zero. 40-51-87-854 2345878910 The slope of f(x) is zero at approximately x = -3, x = 0, and x = 2.5. O The slope of f(x) is never zero. 0 The slope of f(x) is zero at approximately x = -3 and x = 2.5. O The slope of f(x) is zero at approximately x = 0, and x = 2.5. Given the functiont (X) shown, which is the graph of the derivativef (X) ? -NWALI FX -2 wt DAWN- -NWAUT Nt .1 1 -3 -2 DAWN -NWA w+ N+ O 1 O -3 -2 -1 wt N- 3 -2 -1 DAWN -NWAUT w+ O N- O -3 -2 .1Use the graph of f(x) to fill in the table below. LY BobAN NADOO Interval (-3,-1.5) (-1.5, 2) X=2 (2,2.5) -4 -3 -2 -1 3 Behavior in f (x) asymptote Sign off ' (x) interval (-3,-1.5) (-1.5, 2) X=2 (2,2.5) behavior decreasin in f (x) increasing asymptote increasing O g sign off' not negative |negative (x) defined positive interval (-3,-1.5) (-1.5, 2) X=2 (2,2.5) behavior decreasin increasing decreasin O in f (x) asymptote g g sign off ' positive negative 0 (x) positivebehavior decreasin decreasin increasing O in f (x) asymptote g g sign off ' positive negative 0 (x) positive interval (-3,-1.5) (-1.5, 2) X=2 (2,2.5) behavior decreasin O in f (x) increasing asymptote increasing g sign of f ' positive negative 0 (x) positive interval (-3,-1.5) (-1.5, 2) X=2 (2,2.5) behavior decreasin increasing in f (x) asymptote increasing g sign off ' not positive negative (x) defined positive Which statement below is true? 0 If f' (c) is zero then f(x) must be greater than zero at c. Q If f' (c) is zero then f(x) must be infinite at c. Q If f' (c) is zero then f(x) must be constant at c. Q If f' (c) is zero then f(x) must be equal zero at c. For the following graph of f'(x), fill in the table for f(x). AY 207 16+ 12 X -10 -9 -8 -7 -6 -5 -4 -3 -2 -1.4- 2 3 4 5 6 7 8 9 10 -87 -12 -16 -20- Interval (-4,-2.75) (-2.75, 0) 0 (0,2) N (2,3) Behavior of f ' ( x ) asymptote Behavior of f (x) Interval (-4,-2.75) (-2.75, 0) 0 (0,2) 2 (2,3) Behavior of negative negative positive 10 O If ' (x ) negative asymptote then positive behavior of decreasing f (x) increasing increasing 0 decreasing asymptote then increasingInterval (-4,-2.75) (-2.75, 0) 0 (0,2) 2 (2,3) Behavior of negative If ' (x) negative positive 10 O negative asymptote then positive Behavior of decreasing f (x ) decreasing increasing constant decreasing asymptote then increasing Interval (-4,-2.75) (-2.75, 0) 0 (0,2) 2 (2,3) Behavior of negative O If ' (x) negative positive negative asymptote then positive Behavior of decreasing f (x ) increasing increasing constant decreasing 0 then increasing Interval (-4,-2.75) (-2.75, 0) 0 (0,2) 2 '2,3) Behavior of negative O If ' ( x ) negative positive negative asymptote then positive Behavior of f (x) increasing increasing constant decreasing 0 decreasingGiven this graph of f I (X), which table is correct? Interval (2,1) 1 (1,1) 1 (1,13) 1.3 RT1.3 Behavior positive 0 negative asymptote negative 0 positive of O f' (X) Behavior decreasing 0 decreasing asymptote decreasing decreasing increasing of f (X) Interval Behavior of f'(X) Behavior of f (X) Interval Behavior of f'(X) Behavior of f (X) (-2, - 1) positive increasing (-2, - 1) positive decreasing increasing increasing (-1, 1) negative decreasing (-1, 1) negative decreasing asymptote asymptote asymptote asymptote (1, 1.3) negative decreasing (1, 1.3) negative decreasing 1.3 decreasing 1.3 decreasing RT 1.3 positive increasing RT 1.3 positive increasing Interval (-2, - 1) -1 (-1, 1) 1 (1, 1.3) 1.3 RT 1.3 Behavior positive 0 negative asymptote negative 0 positive of of (x) Behavior decreasing increasing decreasing asymptote decreasing decreasing increasing of f (x) Interval (-2, - 1) -1 (-1, 1) (1, 1.3) 1.3 RT 1.3 Behavior positive 0 negative asymptote negative 0 positive of f' ( x ) Behavior increasing constant decreasing asymptote decreasing constant increasing of f (x)