Grade 45 FUNCTIONS Learning Objectives Know what a

Grade 4/5 FUNCTIONS Learning Objectives • Know what a function is • Know some of the key different types of functions • Able to perform calculations using functions 31/12/2021

FUNCTIONS • Functions use inputs that follow some combination of operations to produce outputs INPUT 5 8 -7 OUTPUT x 2 -14 10 16 +5 +5 15 21 -9

FUNCTIONS •

FUNCTIONS •

A B C CIRCULAR EXPONENTIAL RECIPROCAL E D CUBIC QUADRATIC Match each function to its graph: • • • Quadratic Cubic Reciprocal Exponential Circular

FUNCTIONS – NOTATION •

FUNCTIONS • f(4) = 3(4) – 7 f(- 5) = 3(- 5) – 7 = 12 – 7 = -15 – 7 =5 = - 22

Grade 8/9 COMPOSITE FUNCTIONS Learning Objectives: • Able to find the values for one function • Know how to deal with composite functions • Start to deal with composite functions algebraically 31/12/2021

COMPOSITE FUNCTIONS •

COMPOSITE FUNCTIONS • f(4) = 4(4) – 1 = 16 – 1 = 15 f(15) = 4(15) – 1 = 60 – 1 = 59

Grade 8/9 31/12/2021 COMPOSITE FUNCTIONS (ALGEBRAIC) Learning Objectives: • Able to solve problems with composite functions numerically • Able to form a composite function algebraically • Able to solve problems with composite functions using the algebraic form

COMPOSITE FUNCTIONS (ALGEBRAIC) • a) b)

COMPOSITE FUNCTIONS (ALGEBRAIC) •

Grade 8/9 31/12/2021 COMPOSITE FUNCTIONS (ALGEBRAIC) •

COMPOSITE FUNCTIONS (ALGEBRAIC) ANSWERS •

Grade 8/9 • INVERSE FUNCTIONS 31/12/2021

INVERSE FUNCTIONS • x 3 -2 ÷ 3 +2

INVERSE FUNCTIONS • x 5 -3 -3 ÷ 2

INVERSE FUNCTIONS • +8 +8 ÷ 3 √ √

INVERSE FUNCTIONS • Factorise ÷ (2 y -1)

Grade 8/9 INVERSE FUNCTIONS 31/12/2021

INVERSE FUNCTIONS •

INVERSE FUNCTIONS