Question

Which of the following exponential functions is represented by the graph?

OA)
A) f(x) = -2x
B) f(x) = 2x
C) f(x) = (¹/2)-x
OD) f(x) = (¹/2)*

Answer 1

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

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