Subjects calculus

Relative Minimum 16Bcf2

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Question: User: b) Relative minimum. (2, -16) Graph shape: a cubic-like curve on the left side of the page, with a relative maximum near (-2, 18) and a relative minimum near (2, -16); position_hint = top-left
1. **Problem Statement:** Find the relative minimum of the given cubic-like curve. 2. **Understanding Relative Minimum:** A relative minimum is a point on the graph where the function changes from decreasing to increasing, and the function value is lower than all nearby points. 3. **Given Information:** The graph has a relative minimum near the point $$ (2, -16) $$. 4. **Interpretation:** Since the relative minimum is given as $$ (2, -16) $$, this means at $$ x=2 $$, the function value is $$ -16 $$, and this point is a local low point. 5. **Conclusion:** The relative minimum of the function is at the point $$ \boxed{(2, -16)} $$. This point represents the lowest value of the function in its immediate vicinity on the graph.