The range of the function `y=x^(-2//3)` is

Options

A. `y lt 0`
B. `y gt 0`
C. `y ge0`
D. `y le0`

Answer

B

Explanation

Plot the graph of `y=x^(-2//3)` in the standard window and observe that the entire graph lies above the x-axis.
An alternative solution uses the fact that `x^(-2//3)=(1)/(x^(2//3)), and x^(2//3)=(x^(1//3))^(2)`, so that for all values of x (except zero) y is positve. therefore, the range of `y=x^(-2//3)` is `y gt 0`.