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Difference Tables 2 (equation)
Contributed by: Heseltine
x
y
1
-2
4
1st Diff=
-1
1
eqn:
y=mx+c
-2
0
y=
-5
1
y-int=
-8
2
-11
3
-14
4
xy
x
y
-2
4
common product=
-1
8
eqn:
DNE
DNE
0
y= a
y=
-8
1
x
-4
2
-8/3
3
-2
4
x
y
y2
y1
common ratio=
1/9
-2
-1
y=a(bx)
eqn:
0
1
y=
3
1
x
9
2
y-int=
27
3
81
4
x
y
1
x-int:
2
-2
8
y=a(x-e)(x-f)
-1
3
remember: x-int in order left to right
eqn:
x-int:
0
0
y=
-1
1
y-int:
0
2
2nd Diff
3
3
8
4
xy
x
y
-12
-2
common product=
-24
-1
eqn:
DNE
DNE
0
y= a
y=
24
1
x
12
2
3
8
4
6
x
y
1
-14
-2
1st Diff=
-9
-1
eqn:
y=mx+c
-4
0
y=
1
1
y-int=
6
2
11
3
16
4
x
y
1
x-int:
2
-2
4
y=a(x-e)(x-f)
-1
0
eqn:
remember: x-int in order left to right
x-int:
y=
0
-2
-2
1
y-int:
0
2
2nd Diff
4
3
10
4
x
y
y2
y1
0.08
-2
common ratio=
0.4
-1
eqn:
y=a(bx)
0
2
y=
10
1
(   )
50
2
x
y-int=
250
3
1250
4
x
y
y2
y1
32/9
-2
common ratio=
16/3
-1
eqn:
y=a(bx)
0
8
y=
1
12
(    )
18
2
y-int=
x
27
3
40.5
4
xy
x
y
-2
common product=
-1
eqn:
~
0
y= a
y=
½
1
x
¼
2
1/6
3
4
x
y
1
-2
2
1st Diff=
-1
2.5
eqn:
y=mx+c
0
3
y=
3.5
1
y-int=
4
2
4.5
3
4
5
x
y
1
x-int:
2
-2
0
y=a(x-e)(x-f)
-12
-1
eqn:
remember: x-int in order left to right
x-int:
y=
-18
0
-18
1
y-int:
-12
2
0
2nd Diff
3
18
4
x
y
y2
y1
-3
24
common ratio=
-2
12
eqn:
y=a(bx)
y=
-1
6
(    )
3
0
1.5
x
1
y-int=
0.75
2
0.375
3
x
y
1
x-int:
-12
2
-2
y=a(x-e)(x-f)
eqn:
-1
0
remember: x-int in order left to right
x-int:
y=
0
8
12
1
y-int:
12
2
2nd Diff
8
3
0
4
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