MAC 2311 Calculus with Analytic Geometry I Module 4 Test SOLUTIONS

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, Module 4 Test Name: iio hbi tt n s
Sections (4.1 - 4.4)
MAC 23I I
Multiple Choice (4 points each unless otherwise stated)



l. Determine any critical values for the following function: !:x3-4x2-3x*L
tAl * =t,_, 3r.-t- gr< - 3
J':
tBl *: _t,, C1, ,, ,:-. /,:!:i, ,
/
tcl x:-],-t
(.1
='O
J
tDl , :* ,, +)x ?
Bx -3 - ()
(3"+tl(-
+ x*: *1 af .,L - ::'

ao Y!: ' S l3 -;/'t* //* ou, h r1J ya&.zot
2. Determine any critical values for the following function: f (x) = xlnx
tAl x: e
tBl x:"1
-/'
/(21= /, /nx + x (-)
ICI L-
T
/tt x' t- /
e
a/
IDI No critical values (ri,:,t tllos t -1.. , : () 4r '7,/y ) y'.'C',




/
." ral-z-z
a
J. Using the graph, determine whether the function has
any absolute extreme values on the interval [a, b].
AL>, /4o
^

tAl Absolute minimum onlY.
tBl Absolute maximum onlY.
tCl Absolute maximum and absolute minimum.
tDl No absolute extrema. -I.r-' ) '' ' '/?
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