Ch 1: Functions in AP Calculus: Tutoring Solution

About This Chapter

The Functions chapter of this AP Calculus AB and BC Tutoring Solution is a flexible and affordable path to learning about functions in AP calculus. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving functions required in a typical AP calculus course.

How it works:

  • Begin your assignment or other AP calculus work.
  • Identify the functions concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our AP calculus tutoring solution will benefit any student who is trying to learn about functions for AP calculus and earn better grades. This resource can help students including those who:

  • Struggle with understanding function identification, transformations, domain and range, function operations, inverse functions or any other functions topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their functions unit
  • Cope with ADD or ADHD
  • Want to get ahead in AP calculus
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning about functions for AP calculus simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live calculus tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about functions on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Identify functions.
  • Learn how to perform transformations.
  • Explain the significance of domain and range in a function.
  • Add, subtract, multiply and divide functions.
  • Compose functions.
  • Solve inverse functions.
  • Learn how to apply function operations.

7 Lessons in Chapter 1: Functions in AP Calculus: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
Functions: Identification, Notation & Practice Problems

1. Functions: Identification, Notation & Practice Problems

A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!

Transformations: How to Shift Graphs on a Plane

2. Transformations: How to Shift Graphs on a Plane

What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!

What Is Domain and Range in a Function?

3. What Is Domain and Range in a Function?

The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.

How to Add, Subtract, Multiply and Divide Functions

4. How to Add, Subtract, Multiply and Divide Functions

Adding, subtracting, multiplying and dividing functions is about as simple as substituting in expressions and then just doing whichever operation it asks you to do. Check out this video lesson to see some examples of this and learn just how easy it is!

How to Compose Functions

5. How to Compose Functions

Function composition is the process of putting two or more functions together. This video lesson will explain how this process works and also show you how to evaluate functions that have been composed.

Inverse Functions

6. Inverse Functions

Inverse functions are two functions that do exactly opposite things. Check out this lesson to learn about how to write inverse functions, find inverse functions, and predict whether or not they exist.

Applying Function Operations Practice Problems

7. Applying Function Operations Practice Problems

In this lesson, learn how to apply all the different properties of functions to solve complex problems. From function operations and composition to domain and range, get your practice here!

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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