Domain and Range 

Domain: (-∞, ∞)

Range: [0, ∞) 

Graph

Table

X

Y

-8

4

-1

1

0

0

1

1

8

4

Description

 In y = x⅔, the output is the value that, when multiplied by itself three times is the input, and then it is multiplied by itself.

Characteristics

Concavity- The graph of y = x⅔ is concave down from (-∞, 0), and concave down again from  (0, ∞).

Decreasing/Increasing- The graph of y = x⅔ is decreasing from (-∞, 0], and increasing from [0, ∞).

Symmetry- The graph of y = x⅔ has even symmetry because each side of the graph is a reflection of the other across the y-axis.

Maximum: none

Minimum: 0

Limits-

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