It really never stops increasing, although it will appoach a min value of 0 on the left and a max value of 15 on the right
However.....the curve has an inflection point at x ≈ 6.93
The growth rate is concave up on (-inf ,≈ 6.93) = (-inf, ln 4 / 0.2 )
After this....the growth rate slows
Here is a graph that confirms this : https://www.desmos.com/calculator/opkiltmvhg