Math 1120
Calculus
Test 3.
November 15, 2001
Your name
The multiple choice count 5 points each and the truefalse problems count 3 points
each. In the multiple choice section, circle the correct choice (or choices). You must
show your work on the other problems. The total number of points available is 122.
1. Truefalse questions. Circle the appropriate word, true or false.
(a) True or false. Every continuous function
f
on an interval [
a, b
] must have
an absolute maximum somewhere in the interval. Ie, there exists a point
c
∈
[
a, b
] such that
f
(
c
)
≥
f
(
x
) for all
x
∈
[
a, b
].
(b) True or false. The graph of a function cannot touch or intersect a hori
zontal asymptote to the graph of
f
.
(c) True or false. If
f
(
c
) = 0, then
f
has a relative maximum or a relative
minimum at
x
=
c
.
(d) True or false.
If
f
has a relative maximum or a relative minimum at
x
=
c
, then
f
(
c
) = 0.
(e) True or false. If
f
(
c
) = 0 and
f
(
c
)
<
0, then
f
has a relative maximum
at
x
=
c
.
1
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Math 1120
Calculus
Test 3.
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 Fall '08
 dawkins
 Math, Calculus, Derivative, Mathematical analysis

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