# What is the domain and range of y= - | x + 3 | - 8?

Feb 4, 2017

Domain is easy. Since there are no fractions, logs or roots involved, $x$ may have any value

#### Explanation:

Range :
$| x + 3 | \ge 0 \to - | x + 3 | \le 0$

Subtract $8$ on both sides:
$- | x + 3 | - 8 \le - 8$

So the range is $\left[- 8 \to - \infty\right]$