Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
3
−
3
x
+
2
f(x)=x^{3}-3x+2
f
(
x
)
=
x
3
−
3
x
+
2
. a. (i) Determine the intervals of monotonicity of
f
f
f
on the real line. b. (ii) Without using calculators, arrange the numbers
f
(
0
)
,
f
(
1
)
f(0),\,f(1)
f
(
0
)
,
f
(
1
)
and
f
(
2
)
f(2)
f
(
2
)
in ascending order. Give clear reasons for the ordering obtained.
Browse the problem library