
Understanding One-to-One and Onto Transformations

Interactive Video
•
Mathematics
•
11th Grade - University
•
Hard
+1
Standards-aligned

Aiden Montgomery
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 video introduction?
To provide a detailed example of a one-to-one transformation.
To explain the differences between one-to-one and onto transformations.
To solve a complex mathematical problem.
To discuss the history of vector spaces.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which statement best describes an onto transformation?
Every vector in the codomain has exactly one pre-image in the domain.
There are no solutions for vectors in the codomain.
Every vector in the domain maps to a unique vector in the codomain.
Every vector in the codomain has at least one pre-image in the domain.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key characteristic of a one-to-one transformation?
Each vector in the codomain has at least one pre-image.
Each vector in the domain maps to a unique vector in the codomain.
Each vector in the codomain is mapped by multiple vectors in the domain.
There are no vectors in the domain.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a one-to-one transformation, how many solutions can a vector in the codomain have?
At least one solution.
At most one solution.
Exactly two solutions.
No solutions.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the first mapping example illustrate?
A transformation that is one-to-one but not onto.
A transformation that is both one-to-one and onto.
A transformation that is onto but not one-to-one.
A transformation that is neither one-to-one nor onto.
Tags
CCSS.8.EE.C.7A
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second mapping example, why is it not one-to-one?
Because multiple vectors in the domain map to the same vector in the codomain.
Because every vector in the domain maps to a unique vector in the codomain.
Because there are no solutions for any vector.
Because there are no vectors in the codomain.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a requirement for a mapping to be onto?
Every vector in the domain must map to a unique vector in the codomain.
There must be at least one solution for every vector in the codomain.
Every vector in the codomain must have multiple pre-images.
There must be no solutions for any vector in the codomain.
Tags
CCSS.8.EE.C.8B
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