Will mark brainliest and worth 30 points

the table shows the function g(x) . select from the drop-down menu to correctly compare the growth factors for the exponential functions g(x) and f(x)=4(3)x . the growth factor of f(x) is the growth factor of g(x) .

the table shows the function g(x) .

select from the drop-down menu to correctly compare the growth factors for the exponential functions g(x) and f(x)=4(3)x .

the growth factor of f(x) is (less than, greater than, or equal to) the growth factor of g(x) .

x g(x)

0 3

1 12

2 48

The growth factor of f(x) is less than the growth factor of g(x).

Explanation:

x | f(x)

_____

0 | 4

1 | 12

2 | 36

You can tell because the g(x) function is multiplying by 4, while the f(x) function is multiplying by 3.

I am joyous to assist you anytime.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )