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Mathematics
Mathematics
Problem
If a function
f
f
f
is strictly increasing on an interval
I
I
I
, which of the following statements is TRUE for any
x
1
,
x
2
∈
I
x_1,x_2\in I
x
1
,
x
2
∈
I
with
x
1
<
x
2
x_1<x_2
x
1
<
x
2
? a)
f
(
x
1
)
≤
f
(
x
2
)
f(x_1)\le f(x_2)
f
(
x
1
)
≤
f
(
x
2
)
b)
f
(
x
1
)
<
f
(
x
2
)
f(x_1)<f(x_2)
f
(
x
1
)
<
f
(
x
2
)
c)
f
(
x
1
)
>
f
(
x
2
)
f(x_1)>f(x_2)
f
(
x
1
)
>
f
(
x
2
)
d)
f
(
x
1
)
<
f
(
x
2
)
whenever
x
1
>
x
2
f(x_1)<f(x_2)\text{ whenever }x_1>x_2
f
(
x
1
)
<
f
(
x
2
)
whenever
x
1
>
x
2
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