Question

Uzupełnij tabelę wykresu funkcji jeśli y = 2/x I y = -3/x. X jest taki sam dla obu tabel.

Answer 1

[tex]y=\frac{2}{x}\\\\\begin{array}{c|c|c|c|c|c|c|c|c|c|c|}x&-3&-2&-1&-\frac{1}{2}&-\frac{1}{3}&\frac{1}{3}&\frac{1}{2}&1&2&3\\y&-\frac{2}{3}&-1&-2&-4&-6&6&4&2&1&\frac{2}{3}\end{array}\\\\\frac{2}{-3}=-\frac{2}{3}\qquad\frac{2}{-2}=-1\qquad\frac{2}{-1}=-2\qquad\frac{2}{-\frac{1}{2}}=2*(-\frac{2}{1})=-4\\\frac{2}{-\frac{1}{3}}=2*(-\frac{3}{1})=-6\qquad\frac{2}{\frac{1}{3}}=2*\frac{3}{1}=6\qquad\frac{2}{\frac{1}{2}}=2*\frac{2}{1}=4\qquad\frac{2}{1}=2\qquad\frac{2}{2}=1[/tex]

[tex]y=\frac{-3}{x}\\\\\begin{array}{c|c|c|c|c|c|c|c|c|c|c|}x&-3&-2&-1&-\frac{1}{2}&-\frac{1}{3}&\frac{1}{3}&\frac{1}{2}&1&2&3\\y&1&1\frac{1}{2}&3&6&9&-9&-6&-3&-1\frac{1}{2}&-1\end{array}\\\\\frac{-3}{-3}=1\qquad\frac{-3}{-2}=1\frac{1}{2}\qquad\frac{-3}{-1}=3\qquad\frac{-3}{-\frac{1}{2}}=3*\frac{2}{1}=6\qquad\frac{-3}{-\frac{1}{3}}=3*\frac{3}{1}=9\\\frac{-3}{\frac{1}{3}}=-3*\frac{3}{1}=-9\qquad\frac{-3}{\frac{1}{2}}=-3*\frac{2}{1}=-6\qquad\frac{-3}{1}=-3\qquad\frac{-3}{2}=-1\frac{1}{2}\\ \frac{-3}{3}=-1[/tex]