the function graphed above is:

increasing on the interval(s)

decreasing on the interval(s)

Question

the function graphed above is:

increasing on the interval(s)

decreasing on the interval(s)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Increasing Intervals", "Decreasing Intervals" ], "current_concepts": [ "Increasing Intervals", "Decreasing Intervals", "Graphical Analysis" ] } ## Identify local extrema from the graph $$ \begin{aligned} &\text{Local minimum at } x = -3\ &\text{Local maximum at } x = 0 \end{aligned} $$ ## Determine the increasing interval $$ \begin{aligned} &\text{The graph rises from left to right on } (-3, 0) \end{aligned} $$ ## Determine the decreasing intervals $$ \begin{aligned} &\text{The graph falls from left to right on } (-\infty, -3) \text{ and } (0, \infty) \end{aligned} $$ The function graphed above is: Increasing on the interval(s) $(-3, 0)$ Decreasing on the interval(s) $(-\infty, -3) \cup (0, \infty)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Calculus", "Increasing and Decreasing Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Identify local extrema from the graph

Determine the increasing interval

Determine the decreasing intervals

Answer: