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bezimeni [28]
2 years ago
13

Write the function for the graph

Mathematics
2 answers:
bearhunter [10]2 years ago
8 0

Answer: f(x)=4•(2)^x

Step-by-step explanation: Apex answer

Kruka [31]2 years ago
3 0

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


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