Answer:
D) f(x) = (1/2)^x
Step-by-step explanation:
at least that is what I think answer D is supposed to be.
I guess the other answer options are actually
A) f(x) = -2^x
B) f(x) = 2^x
C) f(x) = (1/2)^-x
let's look at the most interesting point here : (1, 1/2).
when x=1, then y = 1/2
A fails. because for x = 1 we get y = -2.
B fails. because for x = 1 we get y = 2.
C fails. because for x = 1 we get (1/2)^-1
and that is 1 / 1/2 = 2
so, the only function giving us (1, 1/2) is D, as
(1/2)¹ = 1/2
