Functions
Chapter Name : Relations And Functions |
Sub Topic Code : 104_11_02_04_01 |
Topic Name : Functions |
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Sub Topic Name : Some Functions And Their Graphs |
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Introduction
Function can be visualized as a tool which produces new elements out of some given elements.
Pre-Requisites:
Idea about Relations and Functions, plotting of graphs.
Activity:
Currency Converter.
Real Life Question:
How many pairs of bag, shirt and coat can be formed of blue and red colour?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Function | A relation f from a set A to set B is said to be a function if every element of set A has one and only one image in set B. The function f from A to B is denoted by f: A ? B |
| Image | If f is a function from A to B and (a,b) ? f, then f(a)=b, where b is called the image of a under f. |
| Real Valued Function | A function which has either R or one of its subsets as its range is called a real valued function. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Currency Converter | Draw a table with two rows and multiple columns and calculate values for a function. Row 1 will have the values for x and Row 2 will have the calculated values of y. |
Real life uses :
Earth’s average land surface temperature has risen 0.8–1.0°F in the last century. Scientists believe it could rise 1–4.5°F in the next fifty years and 2.2–10°F in the next century..It is predicted with the help of functions!
Places to visit :
Math Lab.
Practical examples around us
| Examples | Explainations |
|---|---|
| 1. Thermometer. | Thermometers come with both Celsius and Fahrenheit scales. Students can study a thermometer as an input/output table. |
What you learn in Theory:
What are functions, images, domain and range of a function. An intro on some frequently used functions and their graphs.
What you learn in Practice:
How to map functions and draw their graphs.