Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Find the range of the following functions. a.
f
(
x
)
=
∣
x
+
1
∣
+
∣
2
x
+
1
∣
+
∣
2
x
−
1
∣
+
∣
x
−
1
∣
f(x) = |x+1| + |2x+1| + |2x-1| + |x-1|
f
(
x
)
=
∣
x
+
1∣
+
∣2
x
+
1∣
+
∣2
x
−
1∣
+
∣
x
−
1∣
. b.
f
(
x
)
=
log
2
(
sin
x
−
cos
x
+
3
2
2
)
f(x) = \log_2 \left( \frac{\sin x - \cos x + 3\sqrt{2}}{\sqrt{2}} \right)
f
(
x
)
=
lo
g
2
(
2
s
i
n
x
−
c
o
s
x
+
3
2
)
. c.
f
(
x
)
=
x
2
+
3
x
+
2
f(x) = x^2 + 3x + 2
f
(
x
)
=
x
2
+
3
x
+
2
. d.
f
(
x
)
=
ln
2
x
+
3
ln
x
+
5
f(x) = \ln^2 x + 3 \ln x + 5
f
(
x
)
=
ln
2
x
+
3
ln
x
+
5
. e.
f
(
x
)
=
3
ln
x
+
2
e
x
+
3
f(x) = 3 \ln x + 2e^x + 3
f
(
x
)
=
3
ln
x
+
2
e
x
+
3
. f.
f
(
x
)
=
3
ln
2
x
+
ln
2
x
+
3
f(x) = 3 \ln^2 x + \ln 2x + 3
f
(
x
)
=
3
ln
2
x
+
ln
2
x
+
3
.
Browse the problem library