Write the function for the graph. (1,12)
(0,3)
O A. f(x) = 3•(12)^x
O B. f(x) = 4•(3)^x
O C. f(x) = 3•(4)^x
D. f(x) = 4•(12)^x

Step-by-step explanation:

Given

Required

The function of the graph (exponential function)

An exponential function is represented as:

For , we have:

For

Substitute: in

Divide both sides by 3

So, we have:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.