Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Let be defined by
MATHEMATICS · Single correct · GCSE · Mathematics · Algebra · Algebra
Problem
Let
f
:
R
→
R
f:\mathbb{R}\to\mathbb{R}
f
:
R
→
R
be defined by
f
(
x
)
=
x
3
+
3
k
x
f(x)=x^{3}+3k x
f
(
x
)
=
x
3
+
3
k
x
, where
k
k
k
is an integer. For which smallest positive integer
k
k
k
is
f
f
f
one-one on
R
\mathbb{R}
R
? (a)
k
=
−
1
k=-1
k
=
−
1
(b)
k
=
0
k=0
k
=
0
(c)
k
=
1
k=1
k
=
1
(d)
k
=
2
k=2
k
=
2
Related theory
Increasing and Decreasing Functions
Curve Analysis
Functions
Functions and invertibility
Relations and Functions
Invertible functions and inverse of a function
Exponential and Logarithmic Functions
Algebra
Browse the problem library