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Domain & Range
Related Topics
Wize University Calculus 1 Textbook > Pre-Calculus (Review)
Domain & Range
5 Activities
Match the first two functions with their domain, and the second two function with their range.
A.
[
0
,
∞
)
[0, \infin)
[
0
,
∞
)
B.
(
−
∞
,
−
4
]
(-\infin,-4]
(
−
∞
,
−
4
]
C.
[
1
,
∞
)
[1,\infin)
[
1
,
∞
)
D.
{
y
∈
R
∣
y
is all real numbers
}
\{y\in\mathbb{R}|~y~{\footnotesize\text{is all real numbers}}\}
{
y
∈
R
∣
y
is all real numbers
}
y
=
x
+
1
y=\sqrt{x}+1
y
=
x
+
1
y
=
x
−
1
y=\sqrt{x-1}
y
=
x
−
1
y
=
5
x
+
1
y=5x+1
y
=
5
x
+
1
y
=
−
x
2
−
4
y=-x^2-4
y
=
−
x
2
−
4
I don't know
Check Submission
More Domain & Range Questions:
Domain and Range
Determine the domain for the function
y
=
4
x
x
2
+
5
x
+
6
y=\dfrac{4x}{x^2+5x+6}
y
=
x
2
+
5
x
+
6
4
x
.
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let
f
(
x
)
=
x
2
f(x)=x^2
f
(
x
)
=
x
2
.
True or False:
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let
f
(
x
)
=
x
3
f(x)=x^3
f
(
x
)
=
x
3
.
True or False:
Domain and Range
Determine the domain for the function
y
=
4
x
x
2
+
5
x
+
6
y=\dfrac{4x}{x^2+5x+6}
y
=
x
2
+
5
x
+
6
4
x
.
Practice: Domain & Range
Find the domain & range of the following function shown below:
Practice: Domain & Range
Find the domain & range of the following function shown below:
Limits at Infinity: Domain and Range
(Original question is written in long answer. Multiple choice has been used here for convenience)
Let
f
(
x
)
=
x
2
−
6
x
−
3
\displaystyle f(x) = \frac{\sqrt{x^2 - 6}}{x - 3}
f
(
x
)
=
x
−
3
x
2
−
6
.
Domain & Range
Practice: Domain & Range
Match the function with its appropriate domain or range.
Domain & Range
Practice: Domain & Range
Match the function with its appropriate domain or range.
Domain & Range
Practice: Domain & Range
Find the range of
y
=
−
(
x
+
5
)
2
+
1
y=-(x+5)^2+1
y
=
−
(
x
+
5
)
2
+
1
.
Domain & Range
Practice: Domain & Range
Find the range of
y
=
6
x
2
−
10
y=6x^2-10
y
=
6
x
2
−
10
.
Domain & Range
Find the range of
y
=
−
2
x
2
+
5
y=-2x^2+5
y
=
−
2
x
2
+
5
.
Domain and Range
Find the domain and range of
f
(
x
)
=
x
+
∣
x
∣
x
f\left(x\right)=\frac{x+\left|x\right|}{x}
f
(
x
)
=
x
x
+
∣
x
∣
.