An even function is a function $f(x)$ that satisfies the condition $f(-x) = f(x)$ for all $x$ in its domain. Graphically, even functions are symmetric with respect to the y-axis.
Odd Function: A function $f(x)$ is odd if it satisfies $f(-x) = -f(x)$ for all $x$ in its domain. Odd functions are symmetric with respect to the origin.
Symmetry: In mathematics, symmetry refers to a situation where one part of a figure or object mirrors another part. In functions, this often refers to symmetry about the y-axis or origin.
Net Change Theorem: A principle that states that the net change in a quantity over an interval can be found using definite integrals: $\int_{a}^{b} f'(x) \, dx = f(b) - f(a)$.