math 1298
worksheet 7: 3.3 & 3.4

1). state the open intervals where the function is increasing, decreasing, or constant. (enter your answers using interval notation. if an answer does not exist, enter dne.)

Question

math 1298
worksheet 7: 3.3 & 3.4

1). state the open intervals where the function is increasing, decreasing, or constant. (enter your answers using interval notation. if an answer does not exist, enter dne.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Interval Notation", "Function Graph Analysis" ], "new_concepts": [ "Increasing and Decreasing Functions" ], "current_concepts": [ "Interval Notation", "Function Graph Analysis", "Increasing and Decreasing Functions" ] } ## Identify the vertex and behavior of the parabola $$ \begin{aligned} &\text{Vertex: } (0, -4)\ &\text{Decreasing on: } (-\infty, 0)\ &\text{Increasing on: } (0, \infty) \end{aligned} $$ ## Determine constant intervals $$ \begin{aligned} &\text{Constant on: DNE} \end{aligned} $$ Increasing: $(0, \infty)$ Decreasing: $(-\infty, 0)$ Constant: DNE { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Increasing and Decreasing Functions" ] }

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Identify the vertex and behavior of the parabola

Determine constant intervals

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