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One-to-One Functions and Domain Restriction
Grade Level
ACCUPLACER
AAF.080 One-to-One Functions and Domain Restriction
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For a > 0 and a != 1, why is f(x) = a
x
+ c one-to-one over all real numbers?
A
It is not a function when 0 < a < 1.
B
It is always monotonic, increasing when a > 1 and decreasing when 0 < a < 1.
C
It is one-to-one only when c = 0.
D
It repeats outputs because of the vertical shift c.
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