Question

Which sequence represents the function f(x)=7x−4, f(x)=7x−4, with a domain of natural numbers?

Answer 1

Answer:  The correct option is

(A) {3, 10, 17, 24, …}.

Step-by-step explanation:  We are given to select the sequence that represents the following function with a domain of natural numbers :

$f(x)=7x-4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

The set of natural numbers is {1, 2, 3, 4, . . .}

To find the sequence, we need to substitute x = 1, 2, 3, 4, . . . in equation (i).

From equation (i), we get

$f(1)=7\times1-4=3,\\\\f(2)=7\times2-4=10,\\\\f(3)=7\times3-4=17,\\\\f(4)=7\times4-4=24,\\\\\vdots~~~\vdots~~~\vdots$

Therefore, the sequence that represents the given function is {3, 10, 17, 24, …}.

Thus, option (A) is CORRECT.

Answer 2

Answer:

Step-by-step explanation:

f(x) = 7x - 4

If x = 1:

f(1) = 7×1 - 4 = 7 - 4 = 3

If x = 2:

f(2) = 7×2 - 4 = 14 - 4 = 10

If x = 3:

f(3) = 7×3 - 4 = 21 - 4 = 17

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Alternative A

I hope I helped you.