Subjects calculus

Increasing Intervals E77324

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1. The problem asks to find the intervals where the function is increasing based on the given graph. 2. A function is increasing on intervals where the graph moves upward as we move from left to right. 3. From the graph description, the function has peaks near $x=-5.5$ and $x=-3.5$, and a valley near $x=-6$ and $x=-4$. 4. The function decreases from $x=-7$ to about $x=-6$, then increases from $x=-6$ to $x=-5.5$ (first increasing interval). 5. It then decreases from $x=-5.5$ to $x=-4$, and increases again from $x=-4$ to $x=-3.5$ (second increasing interval). 6. After $x=-3.5$, the function decreases and continues downward, so no more increasing intervals. 7. Therefore, the function is increasing on the intervals $$(-6,-5.5) \text{ and } (-4,-3.5)$$. Final answer: The function is increasing on the intervals $(-6,-5.5)$ and $(-4,-3.5)$.