Graad 10 - Nog Oefeninge : Antwoorde.
Reguit lyn grafieke
| 1.1 |
Y-afsnit: (0;-4) en X-afsnit: (4;0)
1.2 Y-afsnit: (0;3) en X-afsnit: (-1,5;0) |
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| 1.3 |
Y-afsnit: (0;-5) en X-afsnit: (8;0)
1.4 Y-afsnit: (0;-2) en X-afsnit: (0,8;0) |
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| 1.5 |
Y-afsnit: (0;-8) en X-afsnit: (-10;0)
1.6 Y-afsnit: (0;6) en X-afsnit: (4;0) |
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2.1 Y-afsnit is (0;-2) en X-afsnit is (1;0)
2.2 Y-afsnit is (0;3) en X-afsnit is (-2;0)
Stel in y = mx + c
Stel in y = mx + c
Y-afsnit (0;-2) : -2 = m(0) + c
Y-afsnit (0;3) : 3 = m(0) + c
-2 = c
3 = c
y = mx - 2
y = mx + 3
(1;0): 0 = m(1) - 2
(-2;0): 0 = m(-2) + 3
2 = m
m = 1,5
y = 2x - 2
y = 1,5x + 3
2.3
y = -2x + 4
2.4
y = -0,8x - 4
3.1 y = x + 4
3.2 y = x - 5
3.3 y = -2x + 2
3.4 y = -4x - 12
3.5 y = 0,4x - 2
3.6 y = -0,75x + 3
3.7 y = 0,5x - 4
3.8 y = -0,25x - 12
3.9 y = 0,4x - 2
3.10 y = 2x - 3
3.11 y = 5x - 6
3.12 y = -x + 9
3.13 y = -2x + 5
3.14 y = -4x - 7
3.15 y = -3x - 11
3.16 y = 0,4x + 4
4.1 f: y = 0,5x + 2
g: y = 6 - 0,75x of y = -0,75x + 6
4.2 P(3,2 ; 3,6)
4.3.1 0,5x + 2 = 0 as x = -4
4.3.2 0,5x + 2 < 0 as x < -4
4.3.3 6 - 0,75x = 0 as x = 8
4.3.4 6 - 0,75x > 0 as x < 8
4.3.5 0,5x + 2 = 6 - 0,75x as x = 3,2
4.3.6 0,5x + 2 < 6 - 0,75x as x < 3,2
4.3.7 0,5x + 2 > 6 - 0,75x as x > 3,2
4.3.8 0,5x + 2 < 0 EN 6 - 0,75x < 0 : geen waarde van x nie
want f en g kan nie albei gelyktydig kleiner as nul wees nie.
4.3.9 0,5x + 2 > 0 EN 6 - 0,75x > 0 as -4 < x < 8 OF x kan enige waarde tussen -4 en 8 hê.
5.1 f: y = x - 3
g: y = 0,5x - 1
5.2 P(4 ; 1)
5.3.1 x = 3
5.3.2 x < 3
5.3.3 x = 2
5.3.4 x > 2
5.3.5 x = 4
5.3.6 x < 4
5.3.7 x > 4
5.3.8 x > 3
5.3.9 x < 2
6.1 f: y = 3 - 2x
g: y = 5 - 4x
6.2 P(1 ; 1)
6.3.1 x = 1,5
6.3.2 x < 1,5
6.3.3 x = 1,25
6.3.4 x < 1,25
6.3.5 x = 1
6.3.6 x < 1
6.3.7 x > 1
6.3.8 x < 1,25 of x > 2
6.3.9 1,25 < x < 2
7.1 Sien meegaande grafiek.
7.2 P(1,818 ; 7,273)
7.3.1 x > -4
7.3.2 x > 5
7.3.3 x = 1,818
7.3.4 x > 1,818
7.3.5 -4 < x < 5
7.3.6 x < -4 of x > 5
8.1 Sien meegaande grafiek.
8.2 P(1 ; -1,5)
8.3.1 x > 1,6
8.3.2 x > -2
8.3.3 x = 1
8.3.4 x > 1
8.3.5 -2 < x < 1,6
8.3.6 x < -2 of x > 1,6
9.1 C(0;-4) en D(4;0)
9.2 y = -2x - 1
9.3 P(1;-3)
9.4.1 x = 4
9.4.2 x > 4
9.4.3 x < 4
9.4.4 x = -0,5
9.4.5 x > -0,5
9.4.6 x < -0,5
9.4.7 x > 1
9.4.8 -0,5 < x < 4
9.4.9 x < -0,5 of x > 4
9.4.10 x = -0,5 of x = 4
10.1 f: y = x - 1 en
g: y = -x - 3
10.2 D(1;0) en E(-3;0)
10.3 h: y = 3x - 3
10.4.1 x = 1
10.4.2 x < 1
10.4.3 x > 1
10.4.4 x = 1
10.4.5 x < 1
10.4.6 x > 1
10.4.7 x = 1
10.4.8 x = 0
10.4.9 x < 1
10.4.10 x > 0
10.4.11 x < -3 of x > 1
10.4.12 x < -3 of x > 1
10.4.13 -3 < x < 1
10.4.14 geen waardes nie
10.4.15 enige waarde van x behalwe 1
10.5.1 OE = 3
10.5.2 OD = 1
10.5.3 OC = 1
10.5.4 OB = 3
10.6.1 EB = 4,243
10.6.2 DB = 3,162
10.6.3 DC = 1,414
10.6.4 EC = 3,162