Mathematics: Given the sequence 2, 4, 8, , 16,, where x = 0, 1, 2, 3, what is the function rule? f(x) = 2x + 2 f(x) = 2(2)x f(x) = (2x) f(x) = 2

Step-by-step explanation:for sinx or cosx you have to set equation sinx=1 and solve for x... same for cos minimum can be found in sinx= -1...

Given the sequence 2, 4, 8, , 16,, where x = - id24816015136083, Jeamileth

Ellafrederick

18.01.2022

Option C: f(x)=2^x is the function rule.

Explanation:

The sequence is $2,4,8,16, \dots \dots$

Let us find the common difference of this sequence.

Common ratio = $\frac{4}{2} =2$

Hence, r=2

Thus, the given sequence is a geometric progression.

To determine the function rule, let us substitute the values in the general formula of GP which is given by

$f(x)=ar^{x-1}$ where a=2, r=2

Substituting we get,

$f(x)=2(2)^{x-1}$

Simplifying, we get,

$f(x)=2\times2^x\times2^{-1$

Adding the powers, we get,

$f(x)=2^{1+x-1}$

Simplifying, we get,

f(x)=2^x

Hence, the function rule is f(x)=2^x

Thus, Option C is the correct answer.

0,0(0 оценок)