In calculus, understanding the concepts of odd and even functions is essential. An even function is characterized by the equation f(x) = f(-x) for all x within its domain, which signifies that its graph is symmetric along the y-axis. On the other hand, an odd function fulfills the equation f(x) = -f(-x), indicating that its graph is symmetric about the origin.
| Topic | Problem | Solution |
|---|---|---|
| None | 3. Write equations for two functions of even symm… | An even function is symmetric about the y-axis, which means that $f(x) = f(-x)$. |
| None | 1. Classify each function as odd, even, or neithe… | 1a. f(-x)=3(-x)^{4}+3 = 3x^{4}+3, f(x)=f(-x) \Rightarrow \text{even} |