Metadata
Mathematics Grade 9-12 Understand Medium-
Subject
Mathematics
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Education level
Grade 9-12
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Cognitive goals
Understand
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Difficulty estimate
Medium
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Tags
functions, inverse, composition, quadratic, exponential, logarithmic
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Number of questions
5
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Created on
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Generation source
Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini
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License
CC0 Public domain
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Prompt
Assess students' understanding of inverses and compositions for linear, appropriately restricted quadratic, exponential, and logarithmic functions. Tasks include determining and justifying domains and ranges for invertibility, finding algebraic inverses, restricting quadratics to obtain one-to-one functions, computing and simplifying compositions (f∘g and g∘f), verifying inverse relationships algebraically and graphically, and solving equations involving exponents and logarithms. Emphasis on conceptual reasoning and procedural fluency at a medium difficulty level.
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.