Even and Odd Functions
This final page explores the concepts of even and odd functions, which are important in funzioni pari e dispari esercizi svolti PDF solvedexercisesonevenandoddfunctions.
Definition:
- An even function satisfies f−x = fx for all x in its domain.
- An odd function satisfies f−x = -fx for all x in its domain.
The page provides examples of even, odd, and neither even nor odd functions:
- y = x² + 3 evenfunction
- y = sinx oddfunction
- y = x+3² neitherevennorodd
Example: For the function y = 2x³, f−x = -2x³, proving it is an odd function.
Highlight: Recognizing even and odd functions can simplify function analysis and graphing, as they exhibit symmetry around the y-axis or origin, respectively.
The page concludes with a brief mention of asymptotes, which are important for understanding the long-term behavior of functions.