Answer
We can see a sketch of the graphs of the five functions.
Work Step by Step
(i) $y=x^0 = 1$
This graph is a horizontal line.
(ii) $y=x^n~~~$ where $n\gt 0$ and $n$ is an odd integer
This is an odd function because $(-x)^n = -x^n$
(iii) $y=x^n~~~$ where $n\gt 0$ and $n$ is an even integer
This is an even function because $(-x)^n = x^n$
(iv) $y=x^n~~~$ where $n\lt 0$ and $n$ is an odd integer
This is an odd function because $(-x)^n = -x^n$
(v) $y=x^n~~~$ where $n\lt 0$ and $n$ is an even integer
This is an even function because $(-x)^n = x^n$
Note that all five graphs intersect at the point $(1,1)$ because $~~1^n = 1~~$ for all real numbers
