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Trigonometry and precalculus: Functions and their graphs

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Trigonometry and precalculus: Functions and their graphs

Revisiting what a function is and how we can define and visualize one.
What is a function. Function example problems. Ex: Constructing a function. Functions Part 2. Functions as Graphs. Understanding function notation exercise. Understanding function notation. Functions (Part III). Functions (part 4). Sum of Functions. Difference of Functions. Product of Functions. Quotient of Functions. Evaluating expressions with function notation. Evaluating composite functions. Domain of a function. Domain of a function. Domain of a function. Domain and Range of a Relation. Domain and range from graph. Domain and Range of a Function Given a Formula. Domain and Range 1. Domain of a Radical Function. Domain of a function. Domain and Range 2. Domain and Range of a Function. Range of a function. Introduction to Function Inverses. Function Inverse Example 1. Function Inverses Example 2. Function Inverses Example 3. Inverses of functions. When a function is positive or negative. Positive and negative parts of functions. Recognizing odd and even functions. Connection between even and odd numbers and functions. Even and odd functions. Shifting and reflecting functions. Shifting functions. Shifting and reflecting functions. Recognizing features of functions (Example 1). Recognizing features of functions 2 (example 2). Recognizing features of functions 2 (example 3). Recognizing features of functions 2. Interpreting features of functions 2 (Example 1). Interpreting features of functions 2 (Example 2). Interpreting features of functions 2. Comparing features of functions 2 (example 1). Comparing features of functions 2 (example 2). Comparing features of functions 2 (example 3). Comparing features of functions 2. Why Dividing by Zero is Undefined. Why Zero Divided by Zero is Undefined/Indeterminate. Undefined and Indeterminate. A more formal understanding of functions. Introduction to the inverse of a function. What is a function. Function example problems. Ex: Constructing a function. Functions Part 2. Functions as Graphs. Understanding function notation exercise. Understanding function notation. Functions (Part III). Functions (part 4). Sum of Functions. Difference of Functions. Product of Functions. Quotient of Functions. Evaluating expressions with function notation. Evaluating composite functions. Domain of a function. Domain of a function. Domain of a function. Domain and Range of a Relation. Domain and range from graph. Domain and Range of a Function Given a Formula. Domain and Range 1. Domain of a Radical Function. Domain of a function. Domain and Range 2. Domain and Range of a Function. Range of a function. Introduction to Function Inverses. Function Inverse Example 1. Function Inverses Example 2. Function Inverses Example 3. Inverses of functions. When a function is positive or negative. Positive and negative parts of functions. Recognizing odd and even functions. Connection between even and odd numbers and functions. Even and odd functions. Shifting and reflecting functions. Shifting functions. Shifting and reflecting functions. Recognizing features of functions (Example 1). Recognizing features of functions 2 (example 2). Recognizing features of functions 2 (example 3). Recognizing features of functions 2. Interpreting features of functions 2 (Example 1). Interpreting features of functions 2 (Example 2). Interpreting features of functions 2. Comparing features of functions 2 (example 1). Comparing features of functions 2 (example 2). Comparing features of functions 2 (example 3). Comparing features of functions 2. Why Dividing by Zero is Undefined. Why Zero Divided by Zero is Undefined/Indeterminate. Undefined and Indeterminate. A more formal understanding of functions. Introduction to the inverse of a function.

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