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Constructing Arguments and Critiquing Reasoning
Worksheet
Grade Level
Algebra II
ALG2.3 Constructing Arguments and Critiquing Reasoning
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A student claims that if f(x)g(x) = 0 for a particular x, then both f(x) and g(x) must be 0. Which critique is correct?
A
The claim is true because a product can equal 0 only when both factors are 0.
B
The claim is false because a product can be 0 when just one factor is 0.
C
The claim is true for functions but not numbers.
D
The claim is false only when both factors are negative.
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