About Course

This course offers a focused and accessible introduction to functions, based on the diagnostic test and foundational material in the Stewart Calculus textbook. Designed to prepare students for success in calculus, this course walks you through essential function concepts with clear video explanations and problem-solving strategies.

You’ll explore the definition, properties, and various representations of functions, using real examples and guided solutions drawn directly from Stewart’s pre-calculus review.

Course Features:

  • Step-by-step video solutions to representative diagnostic test problems

  • Clear explanations of function properties and operations

  • Practice tips and visual aids to build intuition

  • Structured to support independent learning or classroom supplementation

Mastering functions is the key to succeeding in calculus. This course helps you build that foundation with confidence and clarity.

 

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What Will You Learn?

  • The definition of a function and how to determine whether a relation is a function
  • Function notation and evaluation
  • Domain and range (including how to find them algebraically)
  • Graphs of functions and interpreting function behavior visually
  • Types of functions: linear, quadratic, polynomial, rational, exponential, and logarithmic
  • Combining functions (addition, subtraction, multiplication, division)
  • Composite functions and their evaluation
  • Inverse functions: what they are and how to find them

Course Content

EVALUATING A FUNCTION I

  • Finding the value, slope, and range of a function from its graph
    10:53
  • Evaluating a function
    03:42

EVALUATING A FUNCTION II

DOMAIN OF A FUNCTION

GRAPH TRANSFORMATION

SKETCHING A GRAPH

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Student Ratings & Reviews

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A great course. This course has broadened my knowledge on functions.