SOLUTION: If N represents the set of natural numbers, and the function f: N &#8594; N such that f(x)=3x. Is the function surjective? injective? bijective? Explain.

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Question 1126972: If N represents the set of natural numbers, and the function f: N → N such that f(x)=3x. Is the function surjective? injective? bijective? Explain.
Answer by MathLover1(20850) (Show Source):
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is (one-to-one)=> your answer
Injective means we won't have two or more "A"s pointing to the same "B"
"Injective" (one-to-one)
In fact we can do a "Horizontal Line Test":
To be Injective, a Horizontal Line should never intersect the curve at 2 or more points.

is surjective
BUT from the set of natural numbers natural numbers to natural numbers is not surjective, because, for example, no member in natural numbers can be mapped to by this function.

is bijective
Bijective means Injective and Surjective together.

SOLUTION: If N represents the set of natural numbers, and the function f: N &#8594; N such that f(x)=3x. Is the function surjective? injective? bijective? Explain.

SOLUTION: If N represents the set of natural numbers, and the function f: N → N such that f(x)=3x. Is the function surjective? injective? bijective? Explain.