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