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03.03.1
Multiple-Choice Test
Chapter 03.03
Bisection Method
1.
The bisection method of finding roots of nonlinear equations falls under the category
of a (an) _________ method.
(A)
open
(B)
bracketing
(C)
random
(D)
graphical
2.
If
)
(
x
f
is a real continuous function in
]
,
[
b
a
, and
( )
0
)
(
<
b
f
a
f
, then for
( )
0
=
x
f
,
there is (are) ____________ in the domain
]
,
[
b
a
.
(A)
one root
(B)
an undeterminable number of roots
(C)
no root
(D)
at least one root
3.
Assuming an initial bracket of
[ ]
5
,
1
, the second (at the end of 2 iterations) iterative
value of the root of
0
3
.
0
=
−
−
t
te
using the bisection method is
(A)
0
(B)
1.5
(C)
2
(D)
3
4.
To find the root of
0
)
(
=
x
f
, a scientist is using the bisection method.
At the
beginning of an iteration, the lower and upper guesses of the root are
l
x
and
u
x
.
At
the end of the iteration, the absolute relative approximate error in the estimated value
of the root would be
(A)
x
x
x
u
u
+
(B)
x
x
x
u
+
(C)
x
x
x
x
u
u
+
−
(D)
x
x
x
x
u
u
−
+

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