
Graphing Rational Functions Using Transformations
Presentation
•
Mathematics
•
10th Grade
•
Hard
Joseph Anderson
FREE Resource
8 Slides • 13 Questions
1
2.6 Rational Functions and Their Graphs
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3
4
5
6
Multiple Choice
A rational function in the form shown has #1
x= h as its horizontal asymptote and y=k as its vertical asymptote
x=h as its vertical asymptote and y=k as its horizontal asymptote
x = -h as its horizontal asymptote and y=k as its vertical asymptote
x = -h as its vertical asymptote and y=k as its horizontal asymptote
Not sure what an asymptote is but I feel none of the answers listed are correct
7
Multiple Select
Which of the following represent(s) the domain of the function shown? #2
x = -3
x = 3
(- ∞ ,3) ∪ (3, ∞ )
(- ∞ ,-3) ∪ (-3, ∞ )
(- ∞ ,3] ∪ [3, ∞ )
8
9
Multiple Choice
What are the vertical and horizontal asymptotes of the following function? #3
vertical asymptote is 3 and horizontal asymptote is 1
vertical asymptote is 1 and horizontal asymptote is 3
vertical asymptote is 1 and horizontal asymptote is -3
vertical asymptote is -1/3 and horizontal asymptote is 1
vertical asymptote is 3 and horizontal asymptote is -1/3
10
Multiple Choice
What's the vertical asymptote of the function? #5
x = 5
x = 0
x =5 , x = -5
x = 25
11
Multiple Choice
What is the horizontal asymptote to this function? #6
12
Multiple Choice
What is the domain of this function? #7
The dashed blue lines represent asymptotes
(−∞,∞)
(−∞,3)U(3,∞)
(−∞,3]
(−∞,3)(4,∞)
13
Multiple Choice
What is the range of this function? #12
The dashed red lines represent asymptotes, and the open circle represents a hole in the graph.
(−∞,∞)
(−∞,1)U(1,∞)
(−∞,1)U(1,2)U(2,∞)
14
Multiple Choice
What is the domain and range of this rational function? #44
D: (−∞,∞), x=4
R: (−∞,∞), y=0
D: (−∞,∞)
R: (−∞,∞)
D: (−∞,4)
R: (−∞,∞)
D: (−∞,∞)
R: (−∞,0)
15
Multiple Choice
What are the asymptotes? #14
16
Multiple Choice
What is an asymptote? #18
an imaginary line that your function never touches
a part of your function
a point on your graph
a type of fruit
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18
19
Multiple Choice
What is the Vertical Asymptotes? #27
20
Multiple Choice
What is the domain? #28
21
Multiple Choice
Does this function have any holes or zeros? If so, what are they? #34 y=(x−4)(x+3)(x−4)(x+7)
A hole when x = 4 No Zeros
A hole when x =- 4 Zeros when: x = -3 and x = -7
A hole when x = 4 Zeros when: x = -3 and x = -7
A hole when x = 4 Zeros when x = 3 and x = 7
2.6 Rational Functions and Their Graphs
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