Since \(\displaystyle{x}=-{\frac{{{3}}}{{{4}}}}\) is a rational number (can be written as a ratio of two integers), then: \(\displaystyle{f}-{\frac{{{3}}}{{{4}}}}={0}\)

Since \(\displaystyle{x}=\frac{-}{\sqrt{{2}}}\) is an irrational number, then: \(\displaystyle{f{{\left(\frac{-}{\sqrt{{2}}}\right)}}}={1}\)

Since \(\displaystyle{x}\frac{=}{\pi}\) is an irrational number, then: \(\displaystyle{f{{\left(\frac{}{\pi}\right)}}}={1}\)