Home-ville Exam Expert

Language of Functions (Cambridge (CIE) IGCSE Additional Maths)

Preparing for British Exams, Let us prepare you for successs WhatsApp +2348090551642

Introduction to functions:

What is a mapping?
A mapping takes an 'input' from one set of values to an 'output' in another

What notation is used for functions?
Functions are denoted by straight f open parentheses x close parentheses comma space straight g open parentheses x close parentheses, etc

e.g. straight f open parentheses x close parentheses equals x squared minus 3 x plus 2

These would be pronounced as 'f of x', 'g of x', etc

There is an alternative notation

e.g. straight f colon x rightwards arrow from bar x squared minus 3 x plus 2

Which may be pronounced 'the function f maps x to x-squared minus three x plus two'

How does a function work?
A function has an input open parentheses x close parentheses and output left parenthesis straight f open parentheses x close parentheses space or space space y right parenthesis

Whatever goes in the bracket (instead of x) with f, replaces the x on the other side

This is the input

If the input is known, the output can be calculated

For example, given the function straight f left parenthesis x right parenthesis space equals space 2 x space plus space 1

straight f left parenthesis 3 right parenthesis space equals space 2 space cross times space 3 space plus space 1 equals 7

straight f left parenthesis negative 4 right parenthesis space equals space 2 space cross times space left parenthesis negative 4 right parenthesis space plus space 1 space equals space minus 7

straight f left parenthesis a right parenthesis space equals space 2 a space plus space 1

If the output is known, an equation can be formed and solved to find the input

For example, given the function straight f left parenthesis x right parenthesis space equals space 2 x space plus space 1

If straight f left parenthesis x right parenthesis space equals space 15, the equation 2 x space plus space 1 space equals space 15 can be formed

Solving this equation gives an input of 7

Worked Example
A function is defined as straight f open parentheses x close parentheses space equals space 3 x to the power of 2 space end exponent minus space 2 x space plus space 1.

a) Find straight f open parentheses 7 close parentheses.

LPGA Renee Powell Scholarship: Welcome to our paid membership community: https://classroom.google.com/c/NzM0MzYwNjgyMjk1?cjc=76bcwfz
Scholarship Description

The Renee Powell Scholarship will be awarded through The LPGA Foundation and the LPGA Renee Powell Fund. Established in 2022, the Renee Powell Scholarship will provide financial aid to female, Black or African American, high school seniors pursuing a full-time course of study and playing collegiate golf at an accredited college or university in the United States.

Scholarship Details:

Awarded through The LPGA Foundation and the LPGA Renee Powell Fund
Established in 2022 to support diversity in collegiate golf
Two scholarships of $5,000 each to be awarded in the Spring
Open to female, Black or African American high school seniors committed to playing collegiate golf

Eligibility Criteria:

Must be of Black or African-American descent
High school senior at the time of application
Minimum cumulative GPA of 3.0 on a 4.0 scale

Committed or in the process of committing to play collegiate golf at an accredited U.S. college or university

Application Process

Complete the scholarship application through The LPGA Foundation
Submit academic transcripts verifying a minimum 3.0 GPA
Provide proof of commitment to play collegiate golf

Include letters of recommendation and documentation of community service

Renee Powell is an American professional golfer who played on the US-based LPGA Tour and is currently head professional at her family’s Clearview Golf Club, the only course designed, built, owned and operated by an African-American. The daughter of golf course entrepreneur Bill Powell, Renee grew up in Ohio and took up golf at an early age. As the second Black player on the LPGA Tour, Renee has dedicated her career to increasing diversity in golf.

Also read:

Welcome Champions!

We will be offering our students,clients and Parents weekly updates on:

Education Scholarships
Education Loans
Education Financial Aids

Education Related opportunities

This is strictly for Education Purpose.

Welcome to our paid membership community: https://classroom.google.com/c/NzM0MzYwNjgyMjk1?cjc=76bcwfz

Contact us today:

WhatsApp: +2348090551642, Message us on WhatsApp. https://wa.me/message/GD7YETN3LLGBI1

[email protected]

wa.me

MATHEMATICS CLINIC

Are your wards having difficulties with Mathematics?.
We welcome you to join our Mathematics Coaching and Preparatory classes. Our mathematics educators teach in line with Federal and State Curriculum. We use the syllabus to prepare your wards for External Examinations such as NCEE, JAMB, WAEC, NECO, SAT, ACT, IGCSE.

CLASSES AVAILABLE FOR MATHS LESSONS: BASIC 3-6/ JSS 1-3/ SSS 1-3
NUMBER OF LESSONS PER WEEK: 3 LESSONS
NUMBER OF HOURS PER WEEK: 2 HOURS 15 MINS

NUMBER OF LESSONS PER MONTH: 12 LESSONS
MONTHLY TESTING AND ASSESSMENT AVAILABLE
VENUE FOR LESSONS: ONLINE (VIRTUAL) OR IN-PERSON

You can contact us today:

WhatsApp: +2348090551642
CALL: +2348090551642
SMS: +2348090551645

DICTION AND PHONICS CLASSES

Learn with our experts, how to speak and pronounce words effectively? .
Pronounce words with ease when you learn with our tutors.
Vowels. Monothongs. Diphthongs. Consonants. Stress. Syllables.

CLASSES AVAILABLE FOR MATHS LESSONS: BASIC 4-6/ JSS 1-3/ SSS 1-3
NUMBER OF LESSONS PER WEEK: 3 LESSONS
NUMBER OF HOURS PER WEEK: 2 HOURS
NUMBER OF LESSONS PER MONTH: 12 LESSONS

MONTHLY TESTING AND ASSESSMENT AVAILABLE
VENUE FOR LESSONS: ONLINE (VIRTUAL) OR IN-PERSON

You can contact us today:
WhatsApp: +2348090551642
CALL: +2348090551642
SMS: +2348090551642

LEARNING AT YOUR DOORSTEP (HOME AND ONLINE TUTORIALS)

Learning is an Exciting activity, let our professionals teach your wards

Home and Online lessons available for simplified learning on the following subjects:

FURTHER MATHEMATICS
TECHNICAL DRAWING
FINANCIAL ACCOUNTING

LITERATURE IN ENGLISH
DATA PROCESSING
COMPUTER STUDIES

BOOKKEEPING

NUMBER OF LESSONS PER WEEK: 3 LESSONS
NUMBER OF HOURS PER WEEK: 2 HOURS
NUMBER OF LESSONS PER MONTH: 12 LESSONS

MONTHLY TESTING AND ASSESSMENT AVAILABLE
VENUE FOR LESSONS: ONLINE OR IN-PERSON

You can contact us today:
WhatsApp: +2348090551642
CALL: +2348090551642
SMS: +2348090551642

FEMALE TUTORS AVAILABLE FOR LESSONS
Your wards can now learn with our female certified professional graduate tutors. Let our professionals prepare your wards for school termly tests and examinations. External examination preparatory classes available for your wards, we prepare your wards with the Examination syllabus.

LESSONS PER WEEK: 3 LESSONS
TIME OF LESSON: 5PM-7:15PM
DURATION OF LESSONS: 2 HOURS 15 MINS
LESSONS PER MONTH: 12 LESSONS

BI-WEEKLY TESTINGS
MONTHLY ASSESSMENT REPORT
VENUE OF LESSONS: YOUR PLACE OF RESIDENCE OR ONLINE

You can contact us:
WhatsApp: +2348090551642
CALL: +2348090551642
SMS: 0809 055 1642

AFTER SCHOOL TUTORIAL CLASSES
Learning is a exciting activity, our certified professional graduate tutors are available for your wards.
Our certified professional graduate tutors can prepare your wards for external and internal examinations such as JAMB, WAEC,NECO, JSCE, NATIONAL COMMON ENTRANCE EXAMINATION using the recommended examination syllabus.

NUMBER OF LESSONS A MONTH: 15 LESSONS
LESSON/TUTORIAL/AFTER SCHOOL TIME: 5PM-7:15PM
BI-WEEKLY TESTS WILL BE CONDUCTED

MONTHLY CBT TESTINGS
SCHOOL INTERNAL EXAMINATION AND TESTS REVISION
EXTERNAL EXAMINATION (A’LEVEL/O’LEVEL) PREPARATORY COACHING CLASSES

VENUE: ONLINE (VIRTUAL) OR IN-PERSON

You can contact us today:
WhatsApp: +2348090551642
CALL: +2348090551642
SMS: 0809 055 1642

BECOME A SOFTWARE DEVELOPER
START YOUR JOURNEY TO BECOME A SOFTWARE DEVELOPER.

WE WILL TRAIN YOU IN TEN MONTHS IN THE FOLLOWING MODULES:

C PROGRAMMING
C++ PROGRAMMING
JAVA… E.T.C

WE OFFER IN-PERSON,ONLINE, HOME SERVICES

You can contact us today:

WhatsApp: +2348090551642
CALL: +2348090551642
SMS: +2348090551642

MATHEMATICS CLINIC

COMPUTER PRACTICAL LEARNING AND TRAININGS

Learn with our experts, become a trained computer literate when you enrol in our classes.
CODING. MICROSOFT PACKAGES. WEB DEVELOPMENT
GRAPHICS DESIGNS. UI/UX DESIGNS. ANIMATIONS.

NUMBER OF LESSONS PER WEEK: 3 LESSONS
NUMBER OF HOURS PER WEEK: 2 HOURS
NUMBER OF LESSONS PER MONTH: 12 LESSONS

VENUE FOR LESSONS: IN-PERSON OR ONLINE

You can contact us today:

WhatsApp: +2348090551642
CALL: +2348090551642
SMS: +2348090551642

Welcome to Home-Ville Education Experts!
THIS IS AN ONLINE SERVICE

What we offer our clients:

Online Examination Registration Processing
Online Tutorial trainings for O'Level and A'Level Exams
Travel Abroad Documents Processing

Education Scholarships: Education Loans: Education finances
Private Candidate Certificate Request

HOME-VILLE EDUCATION EXPERTS: "THE SOLUTION TO YOUR EXAMINATION WORRIES"

[email protected]

Preparing for College Tests

Online tutorials are available for your ward(s) preparing for the following tests:

PSAT: PRELIMINARY SCHOLASTIC APTITUDE TEST
ACT: AMERICAN COLLEGE TEST
SAT: SCHOLASTIC APTITUDE TEST

GRE: GRADUATE RECORD EXAMINATION
GMAT: GRADUATE MANAGEMENT ADMISSION TEST
TOEFL: TEST OF ENGLISH AS A FOREIGN LANGUAGE

Bi-Weekly Tests/Termly Evaluation Inclusive

Contact us today:
WhatsApp: +2348090551642
[email protected]

Preparing for your British Exams

Online tutorials are available for your ward(s) preparing for the following exams:

School Exams: Checkpoint, IGSCE, O'Level and A/A's Levels

Mobile English Tests and IELTS

Professional Exams inquires and registration also available:

CIPS, ACCA, ICAN, PLAB, TKT (Teaching Knowledge Tests)

LET US REGISTER YOUR IELTS WITH THE BRITISH COUNCIL

Contact us today:
WhatsApp: +2348090551642
[email protected]