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

Question

and r?
Write your answers as whole numbers, decimals, or simplified proper or improper fractions.
a=
r＝

Answer 1

To rewrite the function in the form f(x) = a(1 + r)^x, we need to find the values of a and r.

Starting with the given function: f(x) = 2(1.44)^(x/2)

Let's rewrite 2 as 2/1: f(x) = (2/1)(1.44)^(x/2)

Now, let's simplify the fraction: f(x) = (2/1)(1.44)^(1/2 * x)

Next, let's rewrite (1.44)^(1/2) as √(1.44) or 1.2: f(x) = (2/1)(1.2)^x

Hence, in the form f(x) = a(1 + r)^x, a = 2/1 and r = 0.2.

Therefore, a = 2/1 and r = 0.2.

Answer 2

Now use your answers to complete the sentence.

When x increases by 1, the function BLANK by BLANK

Answer 3

When x increases by 1, the function increases by 0.2 times the original value.