QUESTION 1 Based on the definitions discussed in the course material and many other references, write your own definition of a function, the domain of a function and the range of a function. Give an example and draw a proper graph of each of the followin

• The presentation of your answers matters a lot – you must explain what you are doing and you must use proper mathematical notation (as used in texts, notes etc). Just writing an answer without working is not enough.

Guidelines for submitted work

• This is an academic assignment so it must be referenced. Include a Reference list at the end of your assignment. You must cite all the different authors from different sources (books, journals, electronic). Please do not use Wikipedia or other such non-refereed sources.

• Start each new question on a new page.

• Conduct a spell check yourself and ensure you have a critical friend read and comment on your English usage, grammar, punctuation and other technical issues.

• Please use Microsoft Word Equation to express any mathematical formulas needed, and Microsoft Word to write the assignment.

• You may use graphical or drawing software to show your graphs.

• Please use size 12 font for any written work.

• Leave a wide margin on the left for feedback comments from your teachers.

What is plagiarism

Plagiarism is when you copy someone else’s answers. Even if you make slight changes in symbols it is still plagiarism. Plagiarism is cheating and is wrong. If it is detected all the people whose answers are extremely similar will get zero marks for the questions involved.

It is a good idea to discuss problems with other people. It is often helpful to work in study groups, but you must write up your answers by yourself and your examples must be unique. Any similarities identified with TURNITIN will be investigated and penalties will be applied

FUNCTIONS ASSIGNMENT

QUESTION 1

Based on the definitions discussed in the course material and many other references, write your own definition of a function, the domain of a function and the range of a function. Give an example and draw a proper graph of each of the following: linear, quadratic, 3rd degree polynomial, exponential, logarithmic and at least one periodic function in your definitions.

QUESTION 2

Investigate carbon dating. What is it? How does it work? What is it useful for? Make sure that your explanation shows all the mathematics behind carbon dating.

QUESTION 4

Explain in detail the mathematical relationship between atmospheric pressure and altitude. Pick at least three different places in the world and show how their atmospheric pressure is explained through your mathematical relationship model. What kind of mathematical relationship is it? How is it used everyday?

Performance Objectives: Know:

Most common types of functions their domain, range and graphical representation.

Inverses of functions.

Do:

Analyze and describe functions

Use functions to solve real-world problems

Browse and search the Internet

Create electronic documents using graphics

Cite sources within documents appropriately