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,
Answer:
The statement is correct
see the explanation
Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to
where
y is the area covered by the plant in percentage
x is the time in years since 2000
r is the rate of change
a is the initial value
In this problem we have
substitute the values
In the year 2005
substitute the value of x in the exponential function
48.6% is about 50%
therefore
The statement is correct