Ch 8: CAHSEE - Overview of Functions: Tutoring Solution

About This Chapter

The Overview of Functions chapter of this CAHSEE Tutoring Solution is a flexible and affordable path to learning about mathematical functions. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving functions covered on the CAHSEE math exam.

How it works:

  • Begin your CAHSEE math exam prep.
  • 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 CAHSEE Tutoring Solution will benefit any student who is trying to learn about mathematical functions and earn passing scores on the exam. This resource can help students including those who:

  • Struggle with understanding domain and range, inverse functions, transformations or any other functions topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning about math visually
  • Find themselves struggling to prepare for the CAHSEE math exam
  • Cope with ADD or ADHD
  • Want to get ahead in high school math
  • Don't have access to CAHSEE math exam prep materials

Why it works:

  • Engaging Tutors: We make learning about mathematical functions 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 math tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about mathematical 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

  • Understand the basics of functions.
  • Learn how to perform transformations.
  • Add, subtract, multiply and divide functions.
  • Define domain and range in a function.
  • Be able to compose functions.
  • Explain how to work with inverse functions.
  • Learn how to apply function operations.

9 Lessons in Chapter 8: CAHSEE - Overview of Functions: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
What is a Function: Basics and Key Terms

1. What is a Function: Basics and Key Terms

Mapping numbers sounds complex, but we do it when we buy gasoline. We pump gasoline, and the gas station charges us based on the amount of gas that we pump. Learn how this relates to functions while reviewing the basics and notations in this lesson.

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!

How to Add, Subtract, Multiply and Divide Functions

3. 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!

What Is Domain and Range in a Function?

4. 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 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!

Algebraic Rule: Definition & Concept

8. Algebraic Rule: Definition & Concept

An algebraic rule is a method for describing the relationship between two variables. This lesson will give a definition of an algebraic rule, show some examples and give you the steps to create rules when given a set of data.

Finding Critical Points in Calculus: Function & Graph

9. Finding Critical Points in Calculus: Function & Graph

This lesson develops the understanding of what a critical point is and how they are found. It explores the definition and discovery of critical points using functions and graphs as well as possible uses for them in the everyday world.

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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