Here's a comparison of US cases of Covid-19 per capita compared to Italy's. There's still an order-and-a-half of magnitude between them, so I've divided Italy's by (an arbitrary) 35 to get them on the same graph:
Here is a graph showing how many days ago US cases today matched Italy's then. Again, per capita:
The number of days keeps increasing, so perhaps we're not on Italy's path after all.
By the way, China had only one new case in the last day.
In the US, the number of cases is still increasing exponentially (essentially):
So far the death rate in the US is about half that of the rest of the world, but the numbers here are relatively small:
Maybe on definition of exponential growth are numbers where when you look at them you say, wow, that can't possibly continue, only to say the same thing again the next day -- wow, now that can't possibly continue! And so on.