Question

1. max: min: increasing: decreasing:

Explanation:

Step1: Identify local and global extrema

By observing the graph, we find the high - points (maxima) and low - points (minima).

Step2: Determine increasing intervals

The function is increasing when the graph goes up as we move from left to right.

Step3: Determine decreasing intervals

The function is decreasing when the graph goes down as we move from left to right.

Assume each square represents 1 unit on both axes.

Max: There is a local maximum around the point $(3, 5)$ and another local maximum around the point $(7, 4)$.
Min: There is a local minimum around the point $(5, 2)$.
Increasing: The function is increasing on the intervals $[0,3]$ and $[5,7]$.
Decreasing: The function is decreasing on the intervals $[3,5]$ and $[7,10]$.

Answer:

Max: Local maxima at approximately $(3, 5)$ and $(7, 4)$
Min: Local minimum at approximately $(5, 2)$
Increasing: $[0,3]$ and $[5,7]$
Decreasing: $[3,5]$ and $[7,10]$