Question

max: min: increasing: decreasing:

Explanation:

Step1: Identify vertex for max/min

The vertex of the parabola gives the maximum or minimum. Since the parabola opens down - ward, it has a maximum. The vertex is at the point where the function changes from increasing to decreasing. Reading from the graph, the vertex is at $(0, 4)$. So the maximum value of the function is $y = 4$. There is no minimum as the function extends down - ward infinitely.

Step2: Determine increasing and decreasing intervals

The function is increasing when the $y$ - values are getting larger as $x$ increases. From the graph, the function is increasing on the interval $(-\infty,0)$. The function is decreasing when the $y$ - values are getting smaller as $x$ increases. The function is decreasing on the interval $(0,\infty)$.

Answer:

Max: $4$
Min: None
Increasing: $(-\infty,0)$
Decreasing: $(0,\infty)$