Write the function associated with the graph below

Since the value of the function is decreasing exponentially as x decreases ,

The function is of the form .

Since the curve passes through (0,6),

,

Since the curve passes through (-1,0),

.

Since is a horizontal asymptote,

From the above 3 equations,

.

Therefore, the required function is

.

It can be verified that the curve passes through .