Question

Seja função f : ℜ→ℜ*+, dada por f(x) = (1/2)^x, Determine no caderno:

A) f(0)
B) f(4)
C) f(1)
D) f(2)
E) f(1/4)

Answer 1

A) f(0) = (1/2)^0
f(0) = 1

B) f(4) = (1/2)^4
f(4) = 1/16

C) f(1) = (1/2)^1
f(1) = 1/2

D) f(2) = (1/2)^2
f(2) = 1/4

E) f(1/4) = (1/2)^ (1/4)
f(1/4) = 4√1/2
f(1/4) = (4√1 / 4√2) × (√2)^3
(racionalisamos o denominador)
f(1/4) = (4√2)^3/ (4√2^4)
f (1/4) = 4√8/2

(obs: o 4 está na raiz, ou seja, raiz quarta...)