One method of graphing rational functions that are reciprocals of polynomial functions is to sketch the polynomial function and then plot the reciprocals of the y-coordinates of key ordered pairs. Use this technique to sketch \(\displaystyle{y}={\frac{{{1}}}{{{f{{\left({x}\right)}}}}}}\) for each function.

\(a)f(x)=2x,\)

b)f(x)=\(\displaystyle{4}{x}^{{{2}}},\),

\({c}{)}{f{{\left({x}\right)}}}={x}^{{{2}}}-{1}\)

d) \(\displaystyle{f{{\left({x}\right)}}}={x}^{{{3}}}\)