Question

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

A. {3,10,17,24,…}
B. {4,11,18,25,…}
C. {4,−3,−10,−17,…}
D. {7,3,−1,−5,…}

Answer 1

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

.

.

.

Alternative A

I hope I helped you.

Answer 2

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*1-4=3,\\\\f(2)=7*2-4=10,\\\\f(3)=7*3-4=17,\\\\f(4)=7*4-4=24,\\\\\vdots~~~\vdots~~~\vdots`

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

Thus, option (A) is CORRECT.