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Domain Restrictions for Even Roots
Worksheet
Grade Level
Algebra II
ALG2.148 Domain Restrictions for Even Roots
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What restriction controls the domain of y = sqrt((x - 2)
2
) + sqrt(8 - x)?
A
x >= 2 only, because of the squared radicand
B
x <= 8, because (x - 2)
2
is always nonnegative and 8 - x must be nonnegative
C
all real numbers, because one radicand is a square
D
x > 8, because the second radical is decreasing
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