Question

What is the shape of the graph of the function? g(x)= 3/2 ​ ⋅( 2/3 ​ ) ^x

Answer 1

Shape of the graph is exponentially decreasing

The horizontal asymptote is y = 0

The y intercept is at x = 0 and is at y = 3/2

Graph attached

Explanation:

Not sure what exactly the question is asking for.

Here is what I figured out

Shape of the graph is exponentially decreasing

The horizontal asymptote is y = 0

The y intercept is at x = 0 and is at y = 3/2

We can also rewrite this equation as:

`g(x) = (3)/(2) \cdot (2)/(3) \cdot \left((2)/(3)\right)^(x-1)\\\\\\= \left((2)/(3)\right)^(x-1)`