\[\boxed{\text{156\ (156).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
Пояснение.
Решение.
\[1)\ y = |x + 4|\]
\[x \geq - 4:\]
\[y = x + 4\]
\[x\] | \[- 1\] | \[- 2\] |
---|---|---|
\[y\] | \[3\] | \[2\] |
\[x \leq - 4:\]
\[y = - x - 4\]
\[x\] | \[- 1\] | \[- 2\] |
---|---|---|
\[y\] | \[- 3\] | \[- 2\] |
\[2)\ y = |x - 5| + 2\]
\[x \geq 5:\]
\[y = x - 5 + 2 = x - 3\]
\[x\] | \[0\] | \[1\] |
---|---|---|
\[y\] | \[- 3\] | \[- 2\] |
\[x < 5:\]
\[y = - x + 5 + 2 = - x + 7\]
\[x\] | \[3\] | \[4\] |
---|---|---|
\[y\] | \[4\] | \[3\] |
\[3)\ y = |2x - 6| - x\]
\[x \geq 3:\]
\[y = 2x - 6 - x = x - 6\]
\[x\] | \[2\] | \[3\] |
---|---|---|
\[y\] | \[- 4\] | \[- 3\] |
\[x < 3:\]
\[y = - 2x + 6 - x = - 3x + 6\]
\[x\] | \[1\] | \[2\] |
---|---|---|
\[y\] | \[3\] | \[0\] |