Question

1. match each interval of the graph to the correct description:

$(-2,\infty)$
$(-\infty,-2)$
choices
increasing
constant
decreasing

Explanation:

Step1: Analyze the interval \((-2,\infty)\)

Looking at the graph, for the interval \((-2,\infty)\), the \(y -\) value does not change as \(x\) increases. So, it is a constant function.

Step2: Analyze the interval \((-\infty,-2)\)

For the interval \((-\infty,-2)\), as \(x\) increases, the \(y -\) value also increases. So, it is an increasing function.

Answer:

\((-2,\infty)\): constant; \((-\infty,-2)\): increasing