Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
1. Find the maximum and minimum values, if any, of the following functions given by (i)
f
(
x
)
=
(
2
x
−
1
)
2
+
3
f(x)=(2 x-1)^{2}+3
f
(
x
)
=
(
2
x
−
1
)
2
+
3
(ii)
f
(
x
)
=
9
x
2
+
12
x
+
2
f(x)=9 x^{2}+12 x+2
f
(
x
)
=
9
x
2
+
12
x
+
2
(iii)
f
(
x
)
=
−
(
x
−
1
)
2
+
10
f(x)=-(x-1)^{2}+10
f
(
x
)
=
−
(
x
−
1
)
2
+
10
(iv)
g
(
x
)
=
x
3
+
1
g(x)=x^{3}+1
g
(
x
)
=
x
3
+
1
(i)
f
(
x
)
=
(
2
x
−
1
)
2
+
3
f(x)=(2 x-1)^{2}+3
f
(
x
)
=
(
2
x
−
1
)
2
+
3
(ii)
f
(
x
)
=
9
x
2
+
12
x
+
2
f(x)=9 x^{2}+12 x+2
f
(
x
)
=
9
x
2
+
12
x
+
2
(iii)
f
(
x
)
=
−
(
x
−
1
)
2
+
10
f(x)=-(x-1)^{2}+10
f
(
x
)
=
−
(
x
−
1
)
2
+
10
(iv)
g
(
x
)
=
x
3
+
1
g(x)=x^{3}+1
g
(
x
)
=
x
3
+
1
Browse the problem library