## Calculus 8th Edition

a. $f(-x)=2(-x)^{5}-3(-x)^{2}+2$ $=-2x^{5}-3x^{2}+2$, which is neither $f(x)$ nor $-f(x)$, so the function is neither even nor odd. b, $f(-x)=(-x)^{3}-(-x)^{7}=-x^{3}+x^{7}=-f(x).$ Odd. c. $f(-x)=\cos((-x)^{2})=\cos(x^{2})=f(x)$ Even. d. $f(-x)=1+\sin(-x)=1-\sin x,$ neither even nor odd.