
Reciprocal (Rational) Functions
Presentation
•
Mathematics
•
11th Grade
•
Practice Problem
•
Medium
Standards-aligned
Krystal Hill
Used 85+ times
FREE Resource
6 Slides • 10 Questions
1
2
Multiple Choice
What is the correct "Parent function" for Rational (reciprocal) functions?
3
Guided Notes:
4
Guided Notes:
5
Multiple Choice
Identify the transformations & Asymptotes for f(x)=x+14−1
Move Right 1 and Up 0
VA: x = 1
HA: y = 0
Move Left 1 and Up 4
VA: x = -1
HA: y = 4
Move Right 4 and Down 1
VA: x = 4
HA: y = -1
Move Left 1 and Down 1
VA: x = -1
HA: y = -1
6
Multiple Choice
Identify the transformations & Asymptotes for f(x)=x−23+2
Move Right 2 and Up 2
VA: x = 2
HA: y = 2
Move Left 2 and Up 3
VA: x = -2
HA: y = 3
Move Right 2 and Down 2
VA: x = 2
HA: y = -2
Move Left 2 and Down 3
VA: x = -2
HA: y = -3
7
Multiple Choice
Identify the transformations & Asymptotes for f(x)=−x+31
Move Right 3 and Up 0
VA: x = 3
HA: y = 0
Move Left 3 and Up 0
VA: x = -3
HA: y = 0
Move Right 3 and Down 1
VA: x = 3
HA: y = -1
Move Left 3 and Down 1
VA: x = -3
HA: y = -1
8
Guided Notes:
9
Multiple Choice
Determine the graph for the following function:
f(x)=x+14−1
10
Multiple Choice
Determine the graph for the following function:
f(x)=x+24
11
Multiple Choice
Determine the graph for the following function:
f(x)=−x+31+1
12
Guided Notes:
13
Guided Notes:
14
Multiple Choice
Identify the domain and range of the function:
f(x)=x+14+1
Domain: (−∞,1)U(1,∞)
Range:
(−∞,4)U(4,∞)
Domain: (−∞,4)U(4,∞)
Range:
(−∞,−1)U(−1,∞)
Domain: (−∞,1)U(1,∞)
Range:
(−∞,−1)U(−1,∞)
Domain: (−∞,−1)U(−1,∞)
Range:
(−∞,1)U(1,∞)
15
Multiple Choice
Identify the domain and range of the function:
f(x)=x−23+2
Domain: (−∞,−2)U(−2,∞)
Range:
(−∞,2)U(2,∞)
Domain: (−∞,3)U(3,∞)
Range:
(−∞,−2)U(−2,∞)
Domain: (−∞,2)U(2,∞)
Range:
(−∞,2)U(2,∞)
Domain: (−∞,−3)U(−3,∞)
Range:
(−∞,2)U(2,∞)
16
Multiple Choice
Identify the domain and range of the function:
f(x)=−x+31
Domain: (−∞,−3)U(−3,∞)
Range:
(−∞,0)U(0,∞)
Domain: (−∞,3)U(3,∞)
Range:
(−∞,0)U(0,∞)
Domain: (−∞,0)U(0,∞)
Range:
(−∞,3)U(3,∞)
Domain: (−∞,0)U(0,∞)
Range:
(−∞,−3)U(−3,∞)
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