QuestionPlot the piecewise function $g(x) = \begin{cases} -6 & \text{if } x < -2 \\ (x+1)^{2} & \text{if } x \geq -2 \end{cases}$ and identify where it increases or decreases.

Studdy Solution
However, we need to consider that this piece is only defined for $x \geq -2$. Hence, the function is decreasing for $-2 \leq x < -1$ and increasing for $x > -1$.
So, the function is decreasing in the interval $[-2, -1)$ and increasing in the interval $(-1, \infty)$.