## Calculus: Early Transcendentals 8th Edition

(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