Question

Dada a funçao exponencial f(x) = 4×, determine:
F(3);
F(-1);
F(1/2);
F(-1/2);
M tal que f(m) =1
D(f) e lm(f)

Answer 1

f(x) = 4×

f(3) = 4³
f(3) = 64

$f(-1) = 4^{-1} \\ f(-1) = \frac{1}{4}$

$f( \frac{1}{2}) = 4^{ \frac{1}{2}} \\ f( \frac{1}{2}) = \sqrt{4} \\ f( \frac{1}{2}) = 2$

$f(- \frac{1}{2}) = 4^{(- \frac{1}{2})$
$f(- \frac{1}{2}) = \frac{1}{ \sqrt{4} } \\ f(- \frac{1}{2}) = \frac{1}{2}$

$f(m) = 4^m\\ 4^m = 1\\ 4^m = 4^0 \\ m = 0$

D(f) = IR
Im(f) = {x ∈ IR | x > 0}