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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Average Rate of Change", "Logarithmic Functions" ], "new_concepts": [], "current_concepts": [ "Logarithmic Functions", "Average Rate of Change" ] } ## Identify the interval and key points from the graph $$ \begin{aligned} &\text{Interval: } [1, 8]\ &h(1) = -2\ &h(8) = -4 \end{aligned} $$ ## Calculate the average rate of change $$ \begin{aligned} \text{Rate of Change} &= \frac{h(8) - h(1)}{8 - 1} \ &= \frac{-4 - (-2)}{8 - 1} \ &= \frac{-2}{7} \ &\approx -0.29 \end{aligned} $$ What is the approximate rate of change of this function on the interval $[1, 8]$? $-0.29$ (or $-\frac{2}{7}$) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Average Rate of Change" ] }

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Identify the interval and key points from the graph

Calculate the average rate of change

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