Maria Gaetana Agnesi was a famous 18th-century mathematician who published the first complete book on calculus. In that book, there were  graphs such as the following ones:

1.    Look at the following images. Do you think they represent the same function? 

2.    Now, you will study them in depth by comparing each one thoroughly. 

1. For which value of X does the first function reach its maximum? And the second one? Do they coincide?
2. When x=5, what is the value of the first function? And the second one? Do they coincide? 
3. When x=10, what is the value of the first function? And the second one? Do they coincide?
4. When x=20, what is the value of the first function? And the second one? Do they coincide?
5. When x= -5, what is the value of the first function? And the second one? Do they coincide?
6. When x= -10, what is the value of the first function? And the second one? Do they coincide?
7. Now choose a different value for x and check if it is the same when applying the first function and the second one.

3.    After studying them in depth, what are your thoughts? Do they represent the same function or not? Why do you think they have a different graph? What is happening? Do you think there's more than meets the eye?