1. find an algebraic representation for an exponential function if it is known that f(x + 1) = 4.f(x)
and f(3) = 16

is the algebraic representation for an exponential function

Step-by-step explanation:

Given:

f(x + 1) = 4.f(x)

f(3) = 16

To Find:

Algebraic representation for an exponential function=?

Solution:

From the formula f(x+n) = f(x)

when n= 1, x= 3

f(3+1)= 4(1)f(3)

f(4)= 4f(3)

Substituting the value of f(3)

f(4)= 4f(3)

f(4)= 4 x 16  

f(4)= 64

f(4)=

f (5) = x 16

f (5) = x  

f(5)=

Similarly,

F(6) =

Hence,

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