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Which of the following relations describes a function?
A. {(4,5), (5, 4), (6,4), (4, 6) }
B. {(5, 6), (5, 7), (5, 8), (5,9) }
C. {(4, 5), (5, 4), (6,5), (5, 6) }
D. {(5,6), (6, 7), (7, 8), (8, 9) }

User Wokena
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Answer:

D

Explanation:

The answer is D. {(5,6), (6,7), (7,8), (8,9)}

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.A function is more formally defined given a set of inputs X (domain) and a set of possible outputs Y (codomain) as a set of ordered pairs (x,y) where x∈X (confused?) and y∈Y, subject to the restriction that there can be only one ordered pair with the same value of x. We can write the statement that f is a function from X to Y using the function notation f:X→Y.

User Martin Forte
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