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Diagnose Likely Student Misconceptions
Grade Level
Praxis Core
5165.294 Diagnose Likely Student Misconceptions
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For (f ∘ g)(x), a student says the domain is simply the intersection of the domains of f and g. Which diagnosis is most likely?
A
The student ignores that g(x) must also land inside the domain of f, not merely that x is in both listed domains.
B
The student believes composition is commutative for all functions.
C
The student correctly identifies all inputs that make both formulas defined and all outputs valid.
D
The student is confusing range with vertical intercepts.
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