Math131-Practice Test 3 (VA 04-10-2014)(1) - Department of...

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1 Department of MathematicsMath 131 (Calculus I) North Carolina A&T State University Practice Test 3 (Version A) Name: __________________________________________ Class:_________________ Date:___________________ Score:______________ Group Name:______________ Group Member1:________________________________________ Group Member2:__________________________________________ Multiple Choice 1.A critical point of the function foccurs at an interior point cA. only when '(c)0fB. only when '(c)0C. only when '( )fcdoes not exit D. when either '(c)0for '( )fcdoes not exit
f
2.The critical points of the function 32( )39f xxxxare
3x
3x3.Absolute extrema of the function 2( )96g xxon the interval 45x are
4x 
5x
5x
4x 
2 4.The largest open interval where the function 2( )21f xxxincreasing is

5.Use the graph of the function ( )f xto locate the local extrema and identify the intervals where the function is concave up and concave down. A. Local minimum is at 1x; local maximum is at 1x and concave up on (,) B. Local minimum is at 1x; local maximum is at 1x and concave down on (,) C. Local minimum is at 1x; local maximum is at 1x and concave up on (0,)and concave down on (,0)D. Local minimum is at 1x; local maximum is at 1x and concave down on (0,)and concave up on (,0)
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