
Graphing Rational Functions: Key Concepts and Techniques

Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Hard
Standards-aligned

Jackson Turner
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the basic form of a rational function?
f(x) = x + 1
f(x) = 1/x
f(x) = x^2
f(x) = x - 1
Tags
CCSS.HSF-IF.C.7D
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when x is zero in the function f(x) = 1/x?
The function equals one
The function equals zero
The function is undefined
The function equals infinity
Tags
CCSS.HSF.IF.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a vertical asymptote?
A line the graph crosses
A line the graph approaches but never touches
A point on the graph
A horizontal line
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of a horizontal asymptote in a rational function?
It indicates where the graph crosses the x-axis
It indicates that the function will never reach a certain y-value
It shows the maximum value of the function
It shows the minimum value of the function
Tags
CCSS.HSF-IF.C.7D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general shape of the graph of f(x) = 1/x?
A straight line
A circle
A parabola
Two curves in opposite quadrants
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the parameter 'a' affect in the transformation of a rational function?
Vertical shift
Vertical stretch or shrink
Horizontal shift
Horizontal stretch or shrink
Tags
CCSS.HSF.BF.B.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If h = 2 in the function f(x) = 1/(x - h), what is the horizontal shift?
2 units up
No shift
2 units to the right
2 units to the left
Tags
CCSS.HSF.BF.B.3
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