## IBDP Mathematics Applications & Interpretations SL Chapter 5 Notes

Modelling constant rate of change: linear functions

STUDY NOTES FOR MATHEMATICS â€“ CHAPTER 5 â€“Â Modelling constant rate of change: linear functions

These notes have specially been curated by expert teachers to simplify and enlighten concepts given in IB Mathematics SL. The notes are comprehensive in nature and are sufficient to study the chapter in depth and one need not look for other resources beyond the notes provided on our website which can be accessed for free. The notes for Mathematics IBDP SL are available on our official website and can be downloaded for free. You are one click away from obtaining all that you need to score well in IB Mathematics SL.

All DP mathematics courses serve to accommodate the diverse range of needs, interests and abilities of students, and to fulfill the requirements of various university and career aspirations. The aims of these courses are to enable students to: develop mathematical knowledge, concepts, principles, logical, critical and creative thinking, employ and refine their powers of abstraction and generalization. Students are also encouraged to appreciate the international dimensions of mathematics and the multiplicity of its cultural and historical perspectives.

In this chapter, we explore what it really means for the relationships between two variables to be called a function. We will then explore properties of functions which will help us work with and understand them. A relation between variables x and y is any set of points in the (x,y) plane. We say that the points connect the two variables. The chapter later on discusses what a domain and range of a function is and how to calculate them. The domain of a relation is the set of values which the variable on the horizontal axis can take. The variable is usually x. The range of a relation is the set of values which the variable on the vertical axis can take. The variable is usually y. The domain and range of relation can be described using set notation, interval notation, or a number line graph. We then graph functions to model real world situations. We also learn about arithmetic sequences. A sequence is a list of numbers that is written in a defined order, ascending or descending, following a specific rule. It can also be defined as a function whose domain is the set of positive integers. Ex. (1,2,6,8…), (1,4,9,16).