L1-6
Mix, Match & Missing
A.REI.10, F.IF.9
Cut apart the pieces and match each graph and asymptote with their end behavior and domain/range. Do NOT cut apart the domain/range from the end
behavior. Then fill in the missing information
A
1
Asymptote: y = ____
Domain: (
As x
∞, f(x)
As x
- ∞, f(x)
As x
∞, f(x)
As x
- ∞, f(x)
Domain: (-∞,∞)
As x
∞, f(x)
Range: (-3, ∞)
As x
- ∞, f(x)
Range: (
B
,
,
)
)
0
2
Asymptote: y = ____
Domain: (
,
Range: (2, ∞)
C
)
∞
3
Asymptote: y = 1
∞
Mix, Match & Missing
L1-6
D
A.REI.10, F.IF.9
4
Domain: (-∞,∞)
Asymptote: y = -3
E
As x
∞, f(x)
As x
- ∞, f(x)
Domain: (-∞,∞)
As x
∞, f(x)
Range: (2, ∞)
As x
- ∞, f(x)
Domain: (-∞,∞)
As x
∞, f(x)
Range: (1, ∞)
As x
- ∞, f(x)
Range: (
,
)
-3
∞
5
Asymptote: y = 2
F
2
6
Asymptote: y = ____
1
∞
Mix, Match & Missing
L1-6
G
A.REI.10, F.IF.9
7
Asymptote: y = ____
H
Domain: (-∞,∞)
As x
∞, f(x)
Range: (0, ∞)
As x
- ∞, f(x)
As x
∞, f(x)
As x
- ∞, f(x)
8
Domain: (
Asymptote: y = 0
Range: (
Let’s summarize:
1.
Explain the difference between end behavior and domain/range.
2.
Explain how two different functions can have the same asymptote.
,
,
)
)
∞
1
Mix, Match & Missing
Key
L1-6
A.REI.10, F.IF.9
Cut apart the pieces and match each graph and asymptote with their end behavior and domain/range. Do NOT cut apart the domain/range from the end
behavior. Then fill in the missing information
A
8
Asymptote: y = 1
Domain: ( -∞,∞)
Range: (1, ∞)
B
As x
∞, f(x)
As x
- ∞, f(x)
∞
1
3
Asymptote: y = -3
C
Domain: (-∞,∞)
As x
∞, f(x)
Range: (-3, ∞)
As x
- ∞, f(x)
Domain: (-∞,∞)
As x
∞, f(x)
Range: (1, ∞)
As x
- ∞, f(x)
∞
-3
6
Asymptote: y = 1
1
∞
Mix, Match & Missing
L1-6
D
A.REI.10, F.IF.9
4
Domain: (-∞,∞)
Asymptote: y = -3
E
As x
∞, f(x)
As x
- ∞, f(x)
Domain: (-∞,∞)
As x
∞, f(x)
Range: (2, ∞)
As x
- ∞, f(x)
Domain: (-∞,∞)
As x
∞, f(x)
Range: (2, ∞)
As x
- ∞, f(x)
Range: (-3, ∞)
-3
∞
5
Asymptote: y = 2
F
2
∞
2
Asymptote: y = 2
∞
2
Mix, Match & Missing
L1-6
G
A.REI.10, F.IF.9
7
Asymptote: y = 0
H
Domain: (-∞,∞)
As x
∞, f(x)
Range: (0, ∞)
As x
- ∞, f(x)
Domain: (-∞,∞)
As x
∞, f(x)
Range: (0, ∞)
As x
- ∞, f(x)
∞
0
8
Asymptote: y = 0
0
∞
Let’s summarize:
1.
Explain the difference between end behavior and domain/range. Answers may vary. Example: The domain and range indicate the constraints of the x
and y-values of a graph where as the end behavior shows how the x-values impact the y-values.
2.
Explain how two different functions can have the same asymptote. Answers may vary. Example: Different functions can have the same asymptote
because it is possible to have the same constraints but different end behaviors. See graph G and H.