Given the graph of the following function, determine the intervals on which $f\left(x\right)$  is increasing.

• A. $(-4,-3)$ and $(2,4)$
• B. $[-4,-2]$ and $[1,4]$
• C. $[-2,-1]$
• D. $(-\infty ,-2)$ and $(1,\infty )$

Answer: (D)

Verified step by step guidance

1. To determine where the function f(x) is increasing, we need to look at the graph and identify the intervals where the graph is moving upwards as we move from left to right.
2. Observe the graph from left to right. Initially, the graph is decreasing until it reaches a minimum point around x = -2.
3. After the minimum point at x = -2, the graph starts to increase until it reaches a maximum point around x = 1.
4. The graph decreases again after x = 1, reaching another minimum point, and then starts increasing again after this point.
5. Thus, the function is increasing on the intervals (-∞, -2) and (1, ∞).