Question

Faça os calculos das funções exponenciais

F(x)= (4/3)^x
F(x)= (3/4)^x

Sendo X= -2,-1,0,1 e 2

Answer 1

Aqui vamos usar muito essas iguldades:
$\left(\frac{a}{b}\right)^{-c}=\left(\left(\frac{a}{b}\right)^{-1}\right)^c=\left(\frac{b}{a}\right)^c$    (1)

$\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$    (2)

Vamos às contas:

f(x) = (4/3)^x para x = -2, -1, 0, 1, 2

(4/3)⁻² = (3/4)² = 9/16
(4/3)⁻¹ = (3/4)¹ = 3/4
(4/3)⁰ = 1
(4/3)¹ = 4/3
(4/3)² = 16/9

(3/4)⁻² = (4/3)² = 16/9
(3/4)⁻¹ = (4/3)¹ = 4/3
(3/4)⁰ = 1
(3/4)¹ = 3/4
(3/4)² = 9/16