I have to find the zeros, vertical assymptotes and end behavior of the functions, how do i find the end behavior?

a) f(x)=x^{-7 }vertical asymptote at x=0

there are no zeros since it does not cross the x-axis

b)g(x)=4/x^{8}

ver. asym. at x=0

there are no zeros since it does not cross the x-axis

c)h(x)=2*3^{x+2}