Page 4 - Top Class Additional Mathematics Tg 4

Additional Mathematics Form 4 Chapter 1 Functions

2. Determine whether each of the following graphs is a function using the vertical line test. PL 1
Tentukan sama ada setiap graf yang berikut ialah fungsi atau bukan dengan menggunakan ujian garis mencancang.
Example (a) y

y
x
0
x
0

A function. When tested with a vertical line, the line Not a function. When tested with a vertical line,
cuts the graph at one point. the line cuts the graph at two points.

(b) y (c) y

x
0
x
0

A function. When tested with a vertical line, the A function. When tested with a vertical line, the
line cuts the graph at one point. line cuts the graph at one point.

3. State the domain, codomain and range for each of the following. Then, write the function by using function
notation. PL 2
Nyatakan domain, kodomain dan julat bagi setiap yang berikut. Kemudian, tulis setiap fungsi dengan menggunakan tatatanda fungsi.
Example (a) Domain f
f = {2, 3, 4, 5} x y
Domain x y 1
= {2, 4, 6, 8} 8 Codomain – 2
2 16 Kodomain 1
Codomain 4 24 1 1 1 1 – 3
Kodomain 6 8 28 = { , , , , 0} 2 3 1 –
2 3 4 5
= {8, 16, 24, 28, 32} 32 4 4
Range 5 1
Range X Y Julat – 5
Julat = { , , , } X 0
1 1 1 1
= {8, 16, 24, 32} 2 3 4 5
Y
Function notation: f : x → 4x or f(x) = 4x Function notation:
Tatatanda fungsi Tatatanda fungsi
1 1
f : x → or f(x) =
x x
(b) Domain f (c) Domain f
= {1, 4, 9, 16, 25} x y = {1, 2, 4, 5} x y
1 1 4
Codomain 4 2 Codomain 1 7
Kodomain 9 3 Kodomain 2 4 10
= {1, 2, 3, 4, 5} 16 4 5 = {4, 7, 10, 13, 16} 5 13
25
16
Range X Y Range X Y
Julat
= {1, 2, 3, 4, 5} Julat
= {4, 7, 13, 16}
Function notation:
Tatatanda fungsi Function notation: f : x → 3x + 1 or f(x) = 3x + 1
f : x →  x or f(x) =  x Tatatanda fungsi

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