Rewrite the function f(x)=

1

5

1

4

x

2
in the form f(x)=a(b)x.
Write a and b as whole numbers, decimals, or simplified proper or improper fractions.
f(x)=

3(2)x

Now use the function in its new form to complete the sentence.

When x increases by 1, the function by a factor of .

When x increases by 1, the function increases by a factor of 3(2) = 6.

does the function increase by

A. 2

B. 1/5

C. 1/2

The correct answer is A. 2.

The correct answer is:

f(x)= 1/5(1/2)^x

When x increases by 1, the function by a factor of .

When x increases by 1, the function increases by a factor of (1/2)^1 = 1/2. Therefore, the correct answer is C. 1/2.

wrong it decreases

Apologies for the confusion. You are correct. When x increases by 1, the function decreases by a factor of 1/2. Thank you for pointing that out.