Score : Teacher : Date · 2019-09-22 · Name : Teacher : Date : Score : Math-Aids.Com Graphing...
Transcript of Score : Teacher : Date · 2019-09-22 · Name : Teacher : Date : Score : Math-Aids.Com Graphing...
Name :
Teacher : Date :
Score :
Math-Aids.Com
Graphing General Rational FunctionsGraphing General Rational FunctionsFind the vertical and horizontal asymptotes as well as the domain and range.
1)- 1
x2 - 4 x
_____ 2)- 3
x + 2
____
3)x - 2
- 4 x - 16
_______ 4)x
3 - 4 x
x2 - 7 x + 12
_________
5)1
x - 2
___ + 2 6)- 3
x - 3
___
7)x
3 - 16 x
x2 + x - 6
_______ 8)- 2
x
__ + 1
Name :
Teacher : Date :
Score :
Math-Aids.Com
Graphing General Rational FunctionsGraphing General Rational FunctionsGraph the given function
9)x
3 + x
2 - 6 x
x2 - 2 x - 8
_________
>X<
AY
V
-10 1-9 2-8 3-7 4-6 5-5 6-4 7-3 8-2 9-1 10
1
-10
2
-9
3
-8
4
-7
5
-6
6
-5
7
-4
8
-3
9
-2
10
-1
10)2
x
_
>X<
AY
V
-10 1-9 2-8 3-7 4-6 5-5 6-4 7-3 8-2 9-1 10
1
-10
2
-9
3
-8
4
-7
5
-6
6
-5
7
-4
8
-3
9
-2
10
-1
11)- 2
x2 + 2 x
______
>X<
AY
V
-10 1-9 2-8 3-7 4-6 5-5 6-4 7-3 8-2 9-1 10
1
-10
2
-9
3
-8
4
-7
5
-6
6
-5
7
-4
8
-3
9
-2
10
-1
12)- 3
x - 4
___ - 3
>X<
AY
V
-10 1-9 2-8 3-7 4-6 5-5 6-4 7-3 8-2 9-1 10
1
-10
2
-9
3
-8
4
-7
5
-6
6
-5
7
-4
8
-3
9
-2
10
-1
Name :
Teacher : Date :
Score :
Math-Aids.Com
Graphing General Rational FunctionsGraphing General Rational FunctionsFind the vertical and horizontal asymptotes as well as the domain and range.
1)- 1
x2 - 4 x
_____
Discontinuities: 0, 4
Horiz. Asym. : y = 0
Vert. Asym. : x = 0, x = 4
Holes: None
X Ints. : None
2)- 3
x + 2
____
Discontinuities: -2
Horiz. Asym. : y = 0
Vert. Asym. : x = -2
Holes: None
X Ints. : None
3)x - 2
- 4 x - 16
_______
Discontinuities: -4
Horiz. Asym. : y = 1-4__
Vert. Asym. : x = -4
Holes: None
X Ints. : 2
4)x
3 - 4 x
x2 - 7 x + 12
_________
Discontinuities: 4, 3
Horiz. Asym. : None
Vert. Asym. : x = 4, x = 3
Holes: None
X Ints. : 0, 2, -2
5)1
x - 2
___ + 2
Discontinuities: 2
Horiz. Asym. : y = 2
Vert. Asym. : x = 2
Holes: None
X Ints. : None
6)- 3
x - 3
___
Discontinuities: 3
Horiz. Asym. : y = 0
Vert. Asym. : x = 3
Holes: None
X Ints. : None
7)x
3 - 16 x
x2 + x - 6
_______
Discontinuities: -3, 2
Horiz. Asym. : None
Vert. Asym. : x = -3, x = 2
Holes: None
X Ints. : 0, 4, -4
8)- 2
x
__ + 1
Discontinuities: 0
Horiz. Asym. : y = 1
Vert. Asym. : x = 0
Holes: None
X Ints. : None
Find the vertical and horizontal asymptotes as well as the domain and range.
Name :
Teacher : Date :
Score :
Math-Aids.Com
Graphing General Rational FunctionsGraphing General Rational Functions
9)x
3 + x
2 - 6 x
x2 - 2 x - 8
_________
>X<
AY
V
-10 1-9 2-8 3-7 4-6 5-5 6-4 7-3 8-2 9-1 10
1
-10
2
-9
3
-8
4
-7
5
-6
6
-5
7
-4
8
-3
9
-2
10
-1
10)2
x
_
>X<
AY
V
-10 1-9 2-8 3-7 4-6 5-5 6-4 7-3 8-2 9-1 10
1
-10
2
-9
3
-8
4
-7
5
-6
6
-5
7
-4
8
-3
9
-2
10
-1
11)- 2
x2 + 2 x
______
>X<
AY
V
-10 1-9 2-8 3-7 4-6 5-5 6-4 7-3 8-2 9-1 10
1
-10
2
-9
3
-8
4
-7
5
-6
6
-5
7
-4
8
-3
9
-2
10
-1
12)- 3
x - 4
___ - 3
>X<
AY
V
-10 1-9 2-8 3-7 4-6 5-5 6-4 7-3 8-2 9-1 10
1
-10
2
-9
3
-8
4
-7
5
-6
6
-5
7
-4
8
-3
9
-2
10
-1