Rewrite the function f(x)=2(1.44)^x/2 in the form f(x)=a(1+r)x. What are the values of a and r?
Write your answers as whole numbers, decimals, or simplified proper or improper fractions.
a=
r=
Now use your answers to complete the sentence.
When x increases by 1, the function _ by _.
To rewrite the function in the form f(x)=a(1+r)x, we need to simplify the expression.
f(x) = 2(1.44)^(x/2)
Rewriting 1.44 as (1+0.44):
f(x) = 2((1+0.44))^(x/2)
f(x) = 2(1.44)^(1/2)^(x/2)
Now we can see that a = 2(1.44)^(1/2) and r = 1/2.
So, a = 2(1.44)^(1/2) and r = 1/2.
When x increases by 1, the function increases by a factor of a(1+r).