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.

Explanation:

Step1: Analyze left part (x < 0)

The graph on the left side (x from -2 to 0) shows a curve decreasing (y - value decreases as x increases towards 0).

Step2: Analyze middle part (near x = 0)

Between x = - 0 (left of 0) and x = 0 (right of 0), there is a horizontal (or flat) part, so the graph remains constant here.

Step3: Analyze right part (x > 0)

On the right side (x from 0 to 2), the graph shows a curve decreasing (y - value decreases as x increases). So overall, the graph decreases, remains constant, then decreases again.

Answer:

The graph decreases, remains constant, then decreases again. (The option: "The graph decreases, remains constant, then decreases again.")