Answer the following questions.

Use the graph shown to decide if each quantity appears to be 20 positive, negative, or zero. f(x) (a) f(-2) is Choose one (b) f(0) is Choose one (c) f(4) is Positive Recently Esther swam a lap in an Olympic swimming pool (the length of the pool is 50 meters, and the length of a lap is 100 meters); ( d) f(5) is Zero her times for various positions s (in meters from her starting point) during the lap are given in the following table. t (sec ) 0 6.4 13.2 20.4 27.6 34.8 41.6 48.4 55.6 62.8 69.6 (e ) f'(-2) is Negative s( m ) 0 10 20 30 40 50 40 30 20 10 0 (f) f'(2) is Choose one Her approximate velocity at time t = 59.2 seconds was m/sec. Round to 3 decimal places. (g) f'(4) is Choose one (h) f'(5) is Choose one Let s = f(t) give an object's height, in feet, above the ground t The quantity, in gallons, of water in a tank after t minutes is w = f(t). seconds after it is thrown. After 1 seconds, the object's height is 106 After 20 minutes, the tank has 55 gallons of water and the quantity is feet, and it is moving up at 20 ft/sec. Fill in the blanks: increasing at 2 gal/min. Fill in the blanks: ( a) f( ) =1 (a) f( 1 ) = ( b ) f' () ) = ( b ) f'( ) =