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As x increases by 1 unit, what is the exponential growth factor??

As x increases by 1 unit, what is the exponential growth factor??-example-1
User Matei Radu
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2 Answers

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15 votes

Answer:

exponential growth factor is 3

Explanation:

User Chapmanio
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Given:

The graph of an exponential function.

To find:

The exponential growth factor as x increases by 1 unit.

Solution:

From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.

The general exponential function is:


y=ab^x ...(i)

Where, a is the initial value and b is the growth factor.

Putting
x=1,y=1 in (i), we get


1=ab^1 ...(ii)

Putting
x=3,y=9 in (i), we get


9=ab^3 ...(iii)

Divide (iii) by (ii).


(9)/(1)=(ab^3)/(ab)


9=b^2


3=b

b is the the growth factor and the value of b is 3.

Therefore, the exponential growth factor is 3 as x increases by 1 unit.

User Chros
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