Draw the graph of y = |x^2 + 4x -1| from x = - 6 to x = 2.
(((if u cannot draw the graph on this site,,, u can only type the first step of this Q)))
thz a lot!!
A...maths Q~~~thz for yr help~~~urgent~~~
2006-10-14 6:20 pm
回答 (3)
2006-10-14 7:57 pm
✔ 最佳答案
你代入x是-6 ,-5,-4 ....至到 2然後睇返y是幾多
咁就可以根據個資料畫圖
但要注意 係個圖y只可以係整數
so 要將y係負數果d反射上去正數果邊 (係指個圖)
咁就可以畫個圖啦
2006-10-14 6:38 pm
這些數據我是利用 Excel 產生出來。
Excel 中 y = |x^2 + 4x -1|所用的公式是 =abs(貯存格^2 + 4*貯存格 - 1)
例如 =ABS(A3^2+4*A3-1) 你可用 Excel 代你繪，或用下列的數據你自行繪出圖像
y = |x^2 + 4x -1|
x
y
-6.00
11.00
-5.95
10.60
-5.90
10.21
-5.85
9.82
-5.80
9.44
-5.75
9.06
-5.70
8.69
-5.65
8.32
-5.60
7.96
-5.55
7.60
-5.50
7.25
-5.45
6.90
-5.40
6.56
-5.35
6.22
-5.30
5.89
-5.25
5.56
-5.20
5.24
-5.15
4.92
-5.10
4.61
-5.05
4.30
-5.00
4.00
-4.95
3.70
-4.90
3.41
-4.85
3.12
-4.80
2.84
-4.75
2.56
-4.70
2.29
-4.65
2.02
-4.60
1.76
-4.55
1.50
-4.50
1.25
-4.45
1.00
-4.40
0.76
-4.35
0.52
-4.30
0.29
-4.25
0.06
-4.20
0.16
-4.15
0.38
-4.10
0.59
-4.05
0.80
-4.00
1.00
-3.95
1.20
-3.90
1.39
-3.85
1.58
-3.80
1.76
-3.75
1.94
-3.70
2.11
-3.65
2.28
-3.60
2.44
-3.55
2.60
-3.50
2.75
-3.45
2.90
-3.40
3.04
-3.35
3.18
-3.30
3.31
-3.25
3.44
-3.20
3.56
-3.15
3.68
-3.10
3.79
-3.05
3.90
-3.00
4.00
-2.95
4.10
-2.90
4.19
-2.85
4.28
-2.80
4.36
-2.75
4.44
-2.70
4.51
-2.65
4.58
-2.60
4.64
-2.55
4.70
-2.50
4.75
-2.45
4.80
-2.40
4.84
-2.35
4.88
-2.30
4.91
-2.25
4.94
-2.20
4.96
-2.15
4.98
-2.10
4.99
-2.05
5.00
-2.00
5.00
-1.95
5.00
-1.90
4.99
-1.85
4.98
-1.80
4.96
-1.75
4.94
-1.70
4.91
-1.65
4.88
-1.60
4.84
-1.55
4.80
-1.50
4.75
-1.45
4.70
-1.40
4.64
-1.35
4.58
-1.30
4.51
-1.25
4.44
-1.20
4.36
-1.15
4.28
-1.10
4.19
-1.05
4.10
-1.00
4.00
-0.95
3.90
-0.90
3.79
-0.85
3.68
-0.80
3.56
-0.75
3.44
-0.70
3.31
-0.65
3.18
-0.60
3.04
-0.55
2.90
-0.50
2.75
-0.45
2.60
-0.40
2.44
-0.35
2.28
-0.30
2.11
-0.25
1.94
-0.20
1.76
-0.15
1.58
-0.10
1.39
-0.05
1.20
0.00
1.00
0.05
0.80
0.10
0.59
0.15
0.38
0.20
0.16
0.25
0.06
0.30
0.29
0.35
0.52
0.40
0.76
0.45
1.00
0.50
1.25
0.55
1.50
0.60
1.76
0.65
2.02
0.70
2.29
0.75
2.56
0.80
2.84
0.85
3.12
0.90
3.41
0.95
3.70
1.00
4.00
1.05
4.30
1.10
4.61
1.15
4.92
Excel 中 y = |x^2 + 4x -1|所用的公式是 =abs(貯存格^2 + 4*貯存格 - 1)
例如 =ABS(A3^2+4*A3-1) 你可用 Excel 代你繪，或用下列的數據你自行繪出圖像
y = |x^2 + 4x -1|
x
y
-6.00
11.00
-5.95
10.60
-5.90
10.21
-5.85
9.82
-5.80
9.44
-5.75
9.06
-5.70
8.69
-5.65
8.32
-5.60
7.96
-5.55
7.60
-5.50
7.25
-5.45
6.90
-5.40
6.56
-5.35
6.22
-5.30
5.89
-5.25
5.56
-5.20
5.24
-5.15
4.92
-5.10
4.61
-5.05
4.30
-5.00
4.00
-4.95
3.70
-4.90
3.41
-4.85
3.12
-4.80
2.84
-4.75
2.56
-4.70
2.29
-4.65
2.02
-4.60
1.76
-4.55
1.50
-4.50
1.25
-4.45
1.00
-4.40
0.76
-4.35
0.52
-4.30
0.29
-4.25
0.06
-4.20
0.16
-4.15
0.38
-4.10
0.59
-4.05
0.80
-4.00
1.00
-3.95
1.20
-3.90
1.39
-3.85
1.58
-3.80
1.76
-3.75
1.94
-3.70
2.11
-3.65
2.28
-3.60
2.44
-3.55
2.60
-3.50
2.75
-3.45
2.90
-3.40
3.04
-3.35
3.18
-3.30
3.31
-3.25
3.44
-3.20
3.56
-3.15
3.68
-3.10
3.79
-3.05
3.90
-3.00
4.00
-2.95
4.10
-2.90
4.19
-2.85
4.28
-2.80
4.36
-2.75
4.44
-2.70
4.51
-2.65
4.58
-2.60
4.64
-2.55
4.70
-2.50
4.75
-2.45
4.80
-2.40
4.84
-2.35
4.88
-2.30
4.91
-2.25
4.94
-2.20
4.96
-2.15
4.98
-2.10
4.99
-2.05
5.00
-2.00
5.00
-1.95
5.00
-1.90
4.99
-1.85
4.98
-1.80
4.96
-1.75
4.94
-1.70
4.91
-1.65
4.88
-1.60
4.84
-1.55
4.80
-1.50
4.75
-1.45
4.70
-1.40
4.64
-1.35
4.58
-1.30
4.51
-1.25
4.44
-1.20
4.36
-1.15
4.28
-1.10
4.19
-1.05
4.10
-1.00
4.00
-0.95
3.90
-0.90
3.79
-0.85
3.68
-0.80
3.56
-0.75
3.44
-0.70
3.31
-0.65
3.18
-0.60
3.04
-0.55
2.90
-0.50
2.75
-0.45
2.60
-0.40
2.44
-0.35
2.28
-0.30
2.11
-0.25
1.94
-0.20
1.76
-0.15
1.58
-0.10
1.39
-0.05
1.20
0.00
1.00
0.05
0.80
0.10
0.59
0.15
0.38
0.20
0.16
0.25
0.06
0.30
0.29
0.35
0.52
0.40
0.76
0.45
1.00
0.50
1.25
0.55
1.50
0.60
1.76
0.65
2.02
0.70
2.29
0.75
2.56
0.80
2.84
0.85
3.12
0.90
3.41
0.95
3.70
1.00
4.00
1.05
4.30
1.10
4.61
1.15
4.92
2006-10-14 6:33 pm
Determine y = 0 and y = |x^2+4x-1|
0 = |x^2+4x-1|
0 = x^2+4x-1
0 = (x+2)^2 - 5
x = -2 + sq root 5, or x = -2 -sq root 5
When x is less than -2 - sq root 5 or x is greater than -2 -sq root 5,
y = |x^2+4x-1| = x^2+4x-1 is greater than zero.
When x is between -2 - sq root 5 and -2 -sq root 5,
x^2+4x-1 is less than zero.
y = |x^2+4x-1| = -(x^2+4x-1) is greater than zero.
0 = |x^2+4x-1|
0 = x^2+4x-1
0 = (x+2)^2 - 5
x = -2 + sq root 5, or x = -2 -sq root 5
When x is less than -2 - sq root 5 or x is greater than -2 -sq root 5,
y = |x^2+4x-1| = x^2+4x-1 is greater than zero.
When x is between -2 - sq root 5 and -2 -sq root 5,
x^2+4x-1 is less than zero.
y = |x^2+4x-1| = -(x^2+4x-1) is greater than zero.
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