Why were railroads considered a powerful symbol of the Industrial
Revolution?

The railway allowed people to flock to cities and allowed people to travel newer places as well. Business boomed due to the railway with the mass increase of people and goods. All in all, the railway was a major success in all aspects of the Industrial Revolution especially in time and distance.

Explanation:

to answer your question:

f(x)= a^x.  if x=0, f(x)=1  if x=1, f(x)=a  if x=1, f(x)=a^a