\[\boxed{\text{283\ (283).}\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[y = x(x - 3);\ \ где\ \ \ \ - 2 \leq x \leq 2\]
\[x\] | \[- 2\] | \[- 1,5\] | \[- 1\] | \[- 0,5\] | \[0\] | \[0,5\] | \[1\] | \[1,5\] | \[2\] |
---|---|---|---|---|---|---|---|---|---|
\[y\] | \[10\] | \[6,75\] | \[4\] | \[1,75\] | \[0\] | \[- 1,25\] | \[- 2\] | \[- 2,25\] | \[- 2\] |
\[x = - 2 \Longrightarrow y = - 2 \cdot ( - 2 - 3) =\]
\[= - 2 \cdot ( - 5) = 10\]
\[x = - 1,5 \Longrightarrow y =\]
\[= - 1,5 \cdot ( - 1,5 - 3) =\]
\[= - 1,5 \cdot ( - 4,5) = 6,75\]
\[x = - 1 \Longrightarrow y = - 1 \cdot ( - 1 - 3) =\]
\[= - 1 \cdot ( - 4) = 4\]
\[x = - 0,5 \Longrightarrow y =\]
\[= - 0,5 \cdot ( - 0,5 - 3) =\]
\[= - 0,5 \cdot ( - 3,5) = 1,75\]
\[x = 0 \Longrightarrow y = 0 \cdot (0 - 3) = 0\]
\[x = 0,5 \Longrightarrow y = 0,5 \cdot (0,5 - 3) =\]
\[= 0,5 \cdot ( - 2,5) = - 1,25\]
\[x = 1 \Longrightarrow y = 1 \cdot (1 - 3) =\]
\[= 1 \cdot ( - 2) = - 2\]
\[x = 1,5 \Longrightarrow y = 1,5 \cdot (1,5 - 3) =\]
\[= 1,5 \cdot ( - 1,5) = - 2,25\]
\[x = 2 \Longrightarrow y = 2 \cdot (2 - 3) =\]
\[= 2 \cdot ( - 1) = - 2\]