While on Casey's computer, you notice that a model for a recent experiment is completed. The model givesthe temperature (T) as a function of time (t) as given below. As before, a time oft=0represents the time of data collection, with negative values representing earlier times. Knowing Casey, they will want to know the domain, range, and other information about the model.You review the model and provide the information that Casey will request.

T(t)=ln(2t+12)+1.6

Enter the domain in interval notation.To enter, type infinity.

___________________

The vertical asymptote ist= _________________

Astapproaches the vertical asymptote,T(t) _____________________.

Astapproaches,T(t)______________.

Draw a representation of the graph ofg(x)

Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain using appropriate mathematical concepts to support your co-workers and supervisor.