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Based on data from the Bureau of Transportation Statistics, the function below models US sales (in thousands) of electric and plug-in hybrid vehicles after the year 2000.
- Sketch a graph of on a viewport where the minimum and maximum values of correspond to the years 2000 and 2050. What minimum and maximum values of do you need to get a “good” view of the graph?
- Interpolate: according to the model how many US electric vehicle were sold in the year 2020? Find the point on the graph corresponding to this input/output pair and label it with its coordinates.
- Extrapolate: according to the model how many US electric vehicle sales are predicted in the year 2050? Find the point on the graph corresponding to this input/output pair and label it with its coordinates.
- Estimating, based on the graph of the model, what year will US sales of electric vehicles begin declining?
- Is this a reasonable model for years before 2000? What about for years after 2050?