Question

which is the best description for the graph?
the graph increases, remains constant, then increases again.
the graph decreases, remains constant, then decreases again.
the graph increases, remains constant, then decreases.
the graph decreases, remains constant, then increases.

Explanation:

Step1: Analyze left part (x < 0)

The graph on the left side (x from -2 to 0) is decreasing as x increases (moving right), since y - values drop from ~2 to 0.

Step2: Analyze middle part (near x=0)

Between x=-0.5 (approx) to x=0.5 (approx), the graph is horizontal (y=0), so it remains constant.

Step3: Analyze right part (x > 0)

On the right side (x from 0 to 2), as x increases (moving right), y - values drop from 0 to -2, so it decreases again.

Answer:

B. The graph decreases, remains constant, then decreases again.