Question

Write the function for the graph

Answer 1

Answer: f(x)=4•(2)^x

Step-by-step explanation: Apex answer

Answer 2

Answer:

Option A is correct.

The function for the given graph is;

$f(x)=2\cdot 4^x$

Step-by-step explanation:

An exponential function is in the form of $y =ab^x$ ......[1] where a is the initial value and b≠ 0 , b >1 .

Given two points as shown in figure i.e,

let A = (0, 2) and B = (1,8)

Substitute these points in equation [1] we have;

For A = (0,2)

$2 = ab^0$ = a

⇒ a = 2

and

for B = (1, 8)

$8 = ab^1$

or

$ab = 8$

Substitute the value of a=2 in above equation to solve for b;

2b = 8

divide both sides by 2 we get;

b = 4

Then, the function for the graph is, y=$f(x)=2\cdot 4^x$