An odd function is a function that satisfies the condition f(-x) = -f(x) for all values of x. In other words, the function has symmetry about the origin (0,0) and its graph is a reflection across the origin.
An even function is a function that satisfies the condition f(-x) = f(x) for all values of x. In other words, the function has symmetry about the y-axis and its graph is a reflection across the y-axis.
To check if a function is odd, you can use the property f(-x) = -f(x). Plug in -x for x in the function and simplify. If the result is equal to -f(x), then the function is odd.
To check if a function is even, you can use the property f(-x) = f(x). Plug in -x for x in the function and simplify. If the result is equal to f(x), then the function is even.
No, a function cannot be both odd and even. A function can only have one type of symmetry, either odd or even. If the function satisfies both conditions, then it is neither odd nor even.