Question

Which is the graph of f(x)=3(2/3)x?

Answer 1

It's the last one, there is a point on the three on the y-axis. And a point on the x-axis is 3,1 or at least that's what it looks like.

Answer 2

we have that

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

Step 1

Find the y-intercept

we know that

The y-intercept is the value of f(x) when the value of x is equal to zero

For $x=0$

$f(0)=3(\frac{2}{3})^{0}=3$

Point $A(0,3)$

Step 2

Find the value of f(x) for $x=1$

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

Point $B(1,2)$

Step 3

Graph the point A and B to find the solution

therefore

the answer in the attached figure