**Functions**

Starter

Copy the function machine below:

Evaluate the function machine when the input is:

(a) 6

(b) 22

(c) 61

Function notation

Function machine

Using functions

f(x) = x - 5. Find f(4)

**L.O. - Understand function notation,**

and evaluate functions at given values.

and evaluate functions at given values.

+3

Starter

Copy the function machine below:

Evaluate the function machine when the input is:

(a) 6

3

(b) 22

5

(c) 61

8

f(x) notation

f(x)= x + 3

f:x notation

f:x x + 3

2

g:x 20 - x . Find g:-2

4

2

Using functions

f(x) = x - 5. Find f(4)

2

g:x 20 - x . Find g:-2

4

2

4 16 11

+3

+3

2

-5

-2 4 16 4

2

20 - ......

/4

Main Activity 1

Complete the Functions Worksheet

Plenary

Bingo!!! Select any 9 numbers from the numbers 1 to 25 (inc).

The function is f(x) = 3x - 2

I will give inputs, if you have the output, cross it off.

Main Activity 1

Complete the Functions Worksheet

(a) 7 (b) 7 (c) 2 (d) - 17 (e) 9 (f) 12 (g) 3 (h) 4

(a) 4 (b) 2 (c) 11 (d) -2 (e) -4 (f) -2 (g) 0.4

(h) -3 (i) 1.25 (j) -8 (k) -4 (l)

12

13

(i) c (ii) b (iii) d (iv) b

(a) f:2 = 4 and f:4 = 2. The function swaps these values.

(b) 3 and 2.5, 11 and 1.3, 7 and 1.75 etc

(c) Many functions with something/(x + something)

**Key**

Examples

Examples

**Actvities**

**Activity**

Answers

Answers

**Worked**

Example

Example