🔓 TIER 1: Basic Properties
Consider the function: f(x) = x³ - 3x² + 2
Which basic properties does this function have?
A. It is a polynomial function
B. It has degree 3
C. It is always increasing
D. It is continuous everywhere
🔒 TIER 2: Critical Points
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Where are the critical points of f(x)?
A. x = 0
B. x = 2
C. x = 1
D. No critical points exist
🔒 TIER 3: Behavior Analysis
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What is the behavior at the critical points?
A. x = 0 is a local maximum
B. x = 0 is a local minimum
C. x = 2 is a local minimum
D. Both critical points are inflection points