Root Functions
India
Class XI
Cube Root Functions, Transformations and Graphing
Interactive practice questions
Consider the function $f\left(x\right)=\sqrt[3]{x}$f(x)=3√x.
a
Complete the table of values below:
| $x$x | $-8$−8 | $-1$−1 | $0$0 | $1$1 | $8$8 |
|---|---|---|---|---|---|
| $\sqrt[3]{x}$3√x | $-2$−2 | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
b
Now draw a graph of the function, making sure to include the point of symmetry.
Loading Graph...
c
What is the domain of the function?
$x>0$x>0
A
All real numbers.
B
$x\le0$x≤0
C
$x\ge0$x≥0
D
d
What is the range of the function?
All real numbers.
A
$y\le0$y≤0
B
$y>0$y>0
C
$y\ge0$y≥0
D
Easy
1min
Consider the function $f\left(x\right)=\sqrt[3]{x-1}$f(x)=3√x−1.
Easy
2min
Consider the function $f\left(x\right)=\sqrt[3]{x}-1$f(x)=3√x−1.
Easy
2min
Consider the function $f\left(x\right)=-\sqrt[3]{x}$f(x)=−3√x.
Easy
2min
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