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education/math/MATH1210 (calc 1)/Limits.md

@@ -26,6 +26,26 @@ Formally, a function $f$ is continuous at a point $a$ if:
 - $\lim_{x \to a} f(x)$  exists
 - $\lim_{x \to a} = f(a)$
 
+- A function is continuous on the open interval $(a, b)$ if it is continuous at all points between $a$ and $b$
+- A function is continuous on the closed interval $[a, b]$ if it is continuous at all points between $a$ and $b$
+
+# Elementary Functions
+An elementary function is any function that is defined using:
+- Polynomial functions
+- Rational functions
+- Root functions
+- Trig functions
+- Inverse trig functions
+- Exponential functions
+- Logarithmic functions
+- Operations of:
+	- Addition
+	- Subtraction
+	- Multiplication
+	- Division
+	- Composition
+
+A piece-wise function is *not*  considered an elementary function
 # Definitions
 
 | Term                  | Definition                                                                    |