T. MASIYAZI
,Email:
Contact: +263785257345
Address: 443B, Area C, Dangamvura, Mutare, Zimbabwe.
Copyright: Trust Masiyazi
2025
1
,𝑻ℎ𝑖𝑠 𝑏𝑙𝑎𝑛𝑘 𝑝𝑎𝑔𝑒 𝑤𝑎𝑠 𝑖𝑛𝑡𝑒𝑛𝑡𝑖𝑜𝑛𝑎𝑙𝑙𝑦 𝑙𝑒𝑓𝑡.
2
, FUCTIONS 1
Table of Contents
Unit1.0: Definition of a function........................................................................................................... 4
Unit1.1: Domain and co-domain of a function.......................................................................................... 4
Unit1.2: One-to-one Function ............................................................................................................... 6
Unit1.3: Range of a function ................................................................................................................ 9
Unit 1.4: Inverse of a function ............................................................................................................ 10
Unit 1.5: Composite functions ............................................................................................................. 14
Unity 1.6: Functional notation of composite functions ............................................................................ 14
Unt1.7: Linear functions. ................................................................................................................... 17
Unit1.8: Sketching the graph of a linear function .................................................................................... 18
Unit 1.9: Quadratic function............................................................................................................... 22
Unit2.0: Completing the square............................................................................................................ 23
Unit 2.1: Cubic function .................................................................................................................... 28
Unit 2.3: Exponential function ........................................................................................................... 31
Unit2.4: Rational functions ................................................................................................................ 35
Unit 2.5: Transformation ................................................................................................................... 39
Unit 2.6: Translation......................................................................................................................... 39
Unity2.7: Reflection .......................................................................................................................... 40
Unit2.8: Stretch................................................................................................................................ 41
Unit2.9: Modulus of a function ........................................................................................................... 46
Unit 3.0: Modulus of x ...................................................................................................................... 47
Unit3.1: Equations with modulus ........................................................................................................ 49
3
,Email:
Contact: +263785257345
Address: 443B, Area C, Dangamvura, Mutare, Zimbabwe.
Copyright: Trust Masiyazi
2025
1
,𝑻ℎ𝑖𝑠 𝑏𝑙𝑎𝑛𝑘 𝑝𝑎𝑔𝑒 𝑤𝑎𝑠 𝑖𝑛𝑡𝑒𝑛𝑡𝑖𝑜𝑛𝑎𝑙𝑙𝑦 𝑙𝑒𝑓𝑡.
2
, FUCTIONS 1
Table of Contents
Unit1.0: Definition of a function........................................................................................................... 4
Unit1.1: Domain and co-domain of a function.......................................................................................... 4
Unit1.2: One-to-one Function ............................................................................................................... 6
Unit1.3: Range of a function ................................................................................................................ 9
Unit 1.4: Inverse of a function ............................................................................................................ 10
Unit 1.5: Composite functions ............................................................................................................. 14
Unity 1.6: Functional notation of composite functions ............................................................................ 14
Unt1.7: Linear functions. ................................................................................................................... 17
Unit1.8: Sketching the graph of a linear function .................................................................................... 18
Unit 1.9: Quadratic function............................................................................................................... 22
Unit2.0: Completing the square............................................................................................................ 23
Unit 2.1: Cubic function .................................................................................................................... 28
Unit 2.3: Exponential function ........................................................................................................... 31
Unit2.4: Rational functions ................................................................................................................ 35
Unit 2.5: Transformation ................................................................................................................... 39
Unit 2.6: Translation......................................................................................................................... 39
Unity2.7: Reflection .......................................................................................................................... 40
Unit2.8: Stretch................................................................................................................................ 41
Unit2.9: Modulus of a function ........................................................................................................... 46
Unit 3.0: Modulus of x ...................................................................................................................... 47
Unit3.1: Equations with modulus ........................................................................................................ 49
3
