IB Mathematics Applications and Interpretation Quiz
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FUNCTIONS
Question 1
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To find a root of
f
(
x
)
=
x
3
−
2
x
−
5
=
0
f(x) = x^3 - 2x - 5 = 0
f
(
x
)
=
x
3
−
2
x
−
5
=
0
, the rearrangement
x
n
+
1
=
x
n
3
−
x
n
−
5
x_{n+1} = x_n^3 - x_n - 5
x
n
+
1
=
x
n
3
−
x
n
−
5
is proposed. Starting with
x
0
=
2
x_0 = 2
x
0
=
2
, what is the behavior of this iteration?
A
It converges to the root
x
≈
2.09
x \approx 2.09
x
≈
2.09
.
B
It diverges to
−
∞
-\infty
−
∞
.
C
It converges to a different root of the equation.
D
It diverges to
+
∞
+\infty
+
∞
.
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