Pre-Calculus Handwritten Reviewers on Functions and Notations

Reference: Cutrone, J. W. (2021). Precalculus: Relations and functions. Coursera. Johns Hopkins University.[Online course]

Different Categories of Functions

Different type of Functions: Linear, Quadratic, Cubic, Square Root, Piecewise Functions : Absolute Value and Greatest Integer, Exponential Function & Logarithmic Functions.

Two common Piecewise Functions

Two common piecewise functions: Greater Integer and Absolute value function.

Logarithmic Functions

Notes on math notations: Logarithmic Rules for logarithmic Functions.

Logarithmic Sample Computations

Example: very easy problem solving on Logarithms

Exponential Functions

3 Kinds of Exponential Functions: increasing, decreasing and x = 0

Quadratic Functions

Quadratic Functions and the Quadratic formula.

Domain, Range, and Intervals

Notes on math notations: Open Interval, Closed Interval, Half-Open Interval, and Half-Closed Interval. Also see Union examples.

Solving equations: Finding the domain of sample functions, using interval notations inclusive of unions.

Solving equations: Finding both the domain and range of functions, using interval notations.