Question

Which graph represents the function f(x)=8 1/3x

Answer 1

Answer:

The correct option is 2.

Step-by-step explanation:

The given function is

$f(x)=8^{\frac{1}{3}x}$

At x=0,

$f(0)=8^{\frac{1}{3}(0)}=8^0=1$

At x=1,

$f(1)=8^{\frac{1}{3}(1)}=8^{\frac{1}{3}}=2$

At x=2,

$f(2)=8^{\frac{1}{3}(2)}=8^{\frac{2}{3}}=4$

At x=3,

$f(3)=8^{\frac{1}{3}(3)}=8^{1}=8$

The graph of f(x) passing through the points (0,1), (1,2), (2,4),(3,8).

According to these coordinates we can say that the graph of f(x) is represented by option 2.

Therefore correct option is 2.

Answer 2

The second one. Try plotting the points by plugging in a few values for x. 

f(x=0) = 8^0 = 1
f(x=2) = 8^(1/3)*2 = 4
f(x=4) = 8^(1/3)*4 = 16