Which sequence represents the function f(x)=x−3, with a domain of natural numbers?
A) {4,5,6,7,…}
B) {−3,−6,−9,−12,…}
C) {−2,−1,0,1,…}
D) {−3,−2,−1,0,…}

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. The collection of possible inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function.

The natural numbers are 1, 2, 3, and 4......

f(x) = x - 3 gives

f(1) = 1 - 3 = -2

f(2) = 2-3 = -1

f(3) = 3-3 = 0

f(4) = 4-3 = 1

The sequence is {-2, -1, 0, 1 ..}. Therefore, the sequence represents the function f(x)=x−3, with a domain of natural numbers will be {-2,-1,0,1.............}. The correct option is C.

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Which sequence represents the function f(x)=x−3, with a domain of natural numbers? A) {4,5,6,7,…} B) {−3,−6,−9,−12,…} C) {−2,−1,0,1,…} D) {−3,−2,−1,0,…}

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What is a function?

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Which sequence represents the function f(x)=x−3, with a domain of natural numbers?
A) {4,5,6,7,…}
B) {−3,−6,−9,−12,…}
C) {−2,−1,0,1,…}
D) {−3,−2,−1,0,…}