Quiz #7 (3.1-3.3) October 16, 2012
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Classlb:
Name:
Math 1210 - 008 Fall 2012
Score
Instructor: Katrina Johnson
Instructions: Complete each problem. Show all of your work as partial credit will be
given where appropriate, and there may be NO credit given for problems without
supporting work All answers should be completely simplified, unless otherwise
stated. You may NOT use a cakulator. You may use a 3x5 index card.
(15 pts) 1. Identify all the critical x-values and the maximum/minimum point(s) if
they exist.
X
f(x)=
1+x 2
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Criticalvalues:
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Maximum point:
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Minimum point:
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(25 pts) 2. Given: g(x) =x —4x
, g’(x)
3
=
3 —24x.
4 —12x
3x
, and g”(x) =12x
2
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_ 2)
2
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3i
(
2
x 2)C(-2’)o
Yo, -2, 2
± i-:
a) brow the sign line for g’(x).
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0
b) brow the sign line for g”(x).
—
a
c) When is g decreasing? (Write your answer in interval notation.)
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d) When is g’ increasing? (Write your answer in interval notation.)
()()
e) When is g concave down? (Write your answer in interval notation.)
f) Where do the local minimum(s) and local maximum(s) occur, if there are any.
Local mm. when x
Local max. when x:
—2