
Understanding Graphs of Rational Functions

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of the problem introduced in the video?
Solving for x in the equation
Identifying the graph of y = f(x)
Finding the roots of g(x)
Determining the degree of g(x)
Tags
CCSS.HSF-IF.C.7D
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in analyzing the function f(x)?
Graphing the function
Factoring the denominator
Factoring the numerator
Finding the roots of g(x)
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the critical x-values for the denominator of f(x)?
x = -3 and x = 2
x = 1 and x = -1
x = 3 and x = -2
x = 0 and x = 1
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a zero denominator indicate in the context of the graph?
A vertical asymptote or removable discontinuity
A horizontal asymptote
A local maximum or minimum
A point of inflection
Tags
CCSS.HSF-IF.C.7D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What condition must be met for a removable discontinuity to occur?
The numerator must not be zero at the same x-value
The denominator must be zero at a different x-value
The function must be continuous
The numerator must be zero at the same x-value
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which graph choice has a vertical asymptote at x = -2?
Choice B
Choice A
Choice D
Choice C
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is Choice A ruled out as a possible graph for f(x)?
It has no vertical asymptotes
It has a vertical asymptote at x = 3
It is defined at x = 3
It has a removable discontinuity at x = -2
Tags
CCSS.HSF-IF.C.7D
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