QuestionFind the domain $D$ and range $R$ of the piecewise function $g(x) = \begin{cases} -3x - 7 & \text{if } x < -1 \\ -5 & \text{if } x \geq -1 \end{cases}$.

Studdy Solution
Combining both parts, the range of the entire function is $(-\infty, -2] \cup \{-5\}$.
$$R = (-\infty, -2] \cup \{-5\}$$So, the domain and range of the function $g(x)$ are $= (-\infty, +\infty)$ and $R = (-\infty, -2] \cup \{-5\}$ respectively.