Rewrite the function f(x)= 1/5(1/4)^x/2 in the form f(x)=a(b)x.

Question

Write an and b as whole numbers, decimals, or simplified proper or improper fractions.
f(x)=

Answer 1

f(x) = (1/5)(1/4)^(x/2) = (1/5)(4^(-1/2))^x = (1/5)(2^(-1))^x = (1/5)(1/2)^x

So the function, in the form f(x) = a(b)x, is f(x) = (1/5)(1/2)^x.

Answer 2

Now use the function in its new form to complete the sentence.
When x increases by 1, the function BLANK by a factor of BLANK

Answer 3

When x increases by 1, the function decreases by a factor of 1/2.