\[\boxed{\text{155\ (155).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
Пояснение.
Решение.
\[1)\ y = |x - 2|\]
\[y = \left\{ \begin{matrix} x - 2;\ \ \ если\ x \geq 2 \\ - x + 2;если\ x < 2 \\ \end{matrix} \right.\ \text{\ \ \ }\]
\[2)\ y = |x + 3| - 1\]
\[x \geq - 3:\]
\[y = x + 3 - 1 = x + 2\]
\[x\] | \[0\] | \[1\] |
---|---|---|
\[y\] | \[2\] | \[3\] |
\[x < - 3:\]
\[y = - x - 3 - 1 = - x - 4\ \]
\[x\] | \[- 1\] | \[- 2\] |
---|---|---|
\[y\] | \[- 3\] | \[- 2\] |
\[3)\ y = |x - 1| + x\]
\[x \geq 1:\]
\[y = x - 1 + x = 2x - 1\]
\[x\] | \[0\] | \[1\] |
---|---|---|
\[y\] | \[- 1\] | \[1\] |
\[x < 1:\]
\[y = - x + 1 + x = 1\]
\(\ \)