Question

3. Dada a função exponencial f(x) = 4× , determine;
A) f (0)
B) f (3)
C) f (-1)
D) f (1/2)
E) f (-1/2)

Answer 1

Resposta:

A) $1$; B) $64$; C) $\frac{1}{4}$; D) $2$; E) $\frac{1}{2}$

Explicação passo a passo:

$f(x)=4^{x}$

A)

$f(0)=4^{0} =1$

B)

$f(3)=4^{3} =64$

C)

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

D)

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

E)

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

Answer 2

Resposta:

A) 11 ; B) 6464 ; C) \frac{1}{4}

4

1

; D) 22 ; E) \frac{1}{2}

2

1

Explicação passo a passo:

f(x)=4^{x}f(x)=4

x

A)

f(0)=4^{0} =1f(0)=4

0

=1

B)

f(3)=4^{3} =64f(3)=4

3

=64

C)

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

−1

=

4

1

1

=

4

1

D)

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

2

1

)=4

2

1

=

4

=2

E)

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

2

1

)=4

−

2

1

=

4

2

1

1

=

4

1

=

2

1