About This Chapter
How It Works:
- Identify the lessons in the OUP Mathematical Models chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the mathematical model topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
You'll learn all of the math topics covered in the textbook chapter, including:
- Key terms related to functions
- Graphing functions
- Domain and range
- Real-life linear models
- Quadratic equations
- Exponential functions
- Exponential growth and decay
- Polynomials in function notation
- Polynomial graphs
- Graph construction
- The interpretation of line graphs
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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.
2. Graphing Basic Functions
Graphs are just like maps - when you know the language! Review how locations have x and y coordinates similar to latitude and longitude, and how to plot points in the Cartesian plane.
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.
4. Writing & Evaluating Real-Life Linear Models: Process & Examples
You make decisions about budgeting and other financial issues using linear models without even realizing it. Learn how to write and evaluate linear models.
5. What is a Quadratic Equation? - Definition & Examples
You might be surprised to learn that quadratic equations are an important part of the world we live in. We sometimes even make use of them for our entertainment! Watch this video lesson to learn more about these equations.
6. Parabolas in Standard, Intercept, and Vertex Form
By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.
7. What Is an Exponential Function?
Brand new technologies don't always catch on right away because they can be expensive and don't always work as well as they should. But once the price comes down, and they start to work better, it doesn't take very long before it seems like everyone has one. Learn about the numbers behind this, exponential functions!
8. Exponential Growth vs. Decay
How is it that it only takes four years for our computer to go from top-of-the-line to almost worthless? Well, it has something to do with what's called exponential decay, which we'll learn about here!
9. How to Evaluate a Polynomial in Function Notation
This lesson will review how to evaluate polynomials in function notation. Along with an analogy to explain the process, examples will be given and worked during the lesson.
10. Understanding Basic Polynomial Graphs
This lesson will cover understanding basic polynomial graphs. The lesson focuses on how exponents and leading coefficients alter the behavior of the graphs.
11. How to Construct Graphs from Data
This video describes how to create a line graph and explains the four main parts that graphs need to contain: 1. previously collected data, 2. picture representations, 3. use of the correct graph type, and 4. labels. This lesson also covers dependent and independent variables.
12. Reading and Interpreting Line Graphs
Watch this video lesson to find out how useful line graphs can be and how much information you can gain just from looking at one. Learn how you can apply that information in your own life to help you make better decisions.
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Other chapters within the OUP Oxford IB Math Studies: Online Textbook Help course
- OUP Oxford IB Math Studies Chapter 1: Number & Algebra 1
- OUP Oxford IB Math Studies Chapter 2: Descriptive Statistics
- OUP Oxford IB Math Studies Chapter 3: Geometry & Trigonometry 1
- OUP Oxford IB Math Studies Chapter 5: Statistical Applications
- OUP Oxford IB Math Studies Chapter 6: Introducing Differential Calculus
- OUP Oxford IB Math Studies Chapter 7: Number & Algebra 2
- OUP Oxford IB Math Studies Chapter 8: Sets & Probability
- OUP Oxford IB Math Studies Chapter 9: Logic
- OUP Oxford IB Math Studies Chapter 10: Geometry & Trigonometry 2
- OUP Oxford IB Math Studies Chapter 13: Prior Learning