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Example 01: Write Informal Description of Given Graphs

Example 02: Write mathematical descriptions given graphs

🌟Implied Domain

Warm-up: Evaluating Functions

Example 01: Determine the domain of the following functions

Example 02: Graph Inequalities on a number line

Example 03: Graph the Domain of the Functions

Example 04: Determine the Domain of the Radical Functions

Example 05: Determine the Domain of the Rational Functions

Example 06: Determine the Domain of the Rational/Radical Functions

Example 07: Identify the Type of Discontinuity as a Hole or Asymptote

🌟Transformations of Functions

Warm up: Evaluate the Point of the Functions & Then Graph the Coordinate Points

Example 01: Describe the Graph of the Transformation of a Function & Find Domain and Range of the Transform Function

Example 02: Describe the Transformation of Function as well as Determine Domain & Range

Example 03: Find the Transformation of Function as well as Determine Domain & Range

Example 04: Describe the Transformation of the Following Functions

Example 05: Describe the Transformation that are Required to Transform f(x) to g(x)

Example 06: Given the Transformation, Write the Equations of the Functions

🌟 Piecewise Functions

Example 02: Graph the Equations & Determine the Domain Based on the Restrictions

Example 03: Graph the Functions with Domain Restrictions on the Same Graph & Then Determine the Domain, Range and Type of Discontinuity

🌟 Operations of Functions

Example 01: Evaluate the Following Function for the Given Value

Example 02: Add or Subtract the Functions,Simplify, Determine the Domain & Evaluate for x=-1

Example 03: Multiply or Divide the Functions,Simplify, Determine the Domain & Evaluate for x=0

Example 04: Find the Compose Functions,Determine the Domain & Evaluate for x=1

Example 05: Determine the Functions are Even Odd or Neither

🌟 Inverse of the Functions

Example 01: Solving Equation for x

Example 02: Find Inverse, Domain & Range of the Functions

Example 03: Determine the Inverse of the Functions with Restrictions

Example 04: Find Inverse, Domain & Range of the Functions

Description:

Dive into a comprehensive 5-hour video lesson covering the six main topics of functions in pre-calculus. Explore characteristics of functions, implied domain, transformations, piecewise functions, operations, and inverse functions through detailed explanations and multiple examples. Learn to write informal and mathematical descriptions of graphs, determine domains of various function types, graph inequalities, identify discontinuities, describe and perform function transformations, graph piecewise functions, perform operations on functions, and find inverse functions. Gain a solid foundation in pre-calculus concepts with step-by-step guidance and practical applications.

Everything You Need to Know About Functions in Pre-Calculus - Full Lesson

Brian McLogan

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#Mathematics #Calculus #Pre-Calculus #Data Science #Graph Analysis #Inequality #Piecewise Functions

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