Question

Which is the graph of f(x)=3 two thirds to the power of x

Answer 1

It looks similar to
y
=
x
1
3
=
3
√
x
.
Here is the graph of
y
=
x
1
3
=
3
√
x
.
graph{y = x^(1/3) [-3.08, 3.08, -1.538, 1.54]}
You can scroll in and out and drag the graph window around using a mouse.
The difference is that the function in this question has squared all of the
3
r
d
roots, so all of the
y
values are positive (and have the value of the square.)
x
2
3
=
(
x
1
3
)
=
(
3
√
x
)
2

Here is the graph of
f
(
x
)
=
x
2
3

graph{y = x^(2/3) [-3.08, 3.08, -1.538, 1.54]}