1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Definition of Functions
Find the rang...
Question
Find the range of the following function given by
(
i
)
f
(
x
)
=
3
2
−
x
2
(
i
i
)
f
(
x
)
=
1
−
|
x
−
2
|
Open in App
Solution
Range of
i
)
3
2
−
x
2
Range is
R
because when
x
2
→
2
+
f
(
x
)
=
−
∞
2
x
2
→
−
2
f
(
x
)
=
∞
i
i
)
f
(
x
)
=
1
−
|
x
−
2
|
1
−
positive
Range is
(
−
∞
,
1
]
Suggest Corrections
0
Similar questions
Q.
Find the range of the function defined by
f
(
x
)
=
⎧
⎪
⎨
⎪
⎩
3
3
x
2
+
1
,
i
f
x
≥
0
5
x
+
3
,
i
f
x
<
0
Q.
Find the range of the following function:
f
(
x
)
=
x
2
+
2
,
x
∈
R
Q.
For the discontinuous function given below, find the value of
f
(
−
3
)
.
f
(
x
)
=
⎧
⎪ ⎪ ⎪
⎨
⎪ ⎪ ⎪
⎩
x
2
+
1
,
i
f
x
<
0
2
x
3
−
1
,
i
f
0
<
x
<
3
4
−
x
,
i
f
x
>
3
Q.
Find the domain and range of the following functions:
1)
1
x
−
2
2)
x
x
+
5
3)
1
2
+
x
2
4)
7
−
x
P
x
−
3
Q.
find the range of following functions :
(
i
)
f
(
x
)
=
1
8
−
3
sin
x
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Definition of Function
MATHEMATICS
Watch in App
Explore more
Definition of Functions
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app