## College Algebra (6th Edition)

f(x)=x$^4$-2x$^2$+1 f(-x)=(-x)$^4$-2(-x)$^2$+1 f(-x)=x$^4$-2x$^2$+1 -f(x)=-(x$^4$-2x$^2$+1) -f(x)=-x$^4$+2x$^2$-1 Since f(-x)=f(x), the function is even. Even functions have symmetry with respect to the y-axis.