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Questions and Answers
Which property ensures that a function is invertible?
Which property ensures that a function is invertible?
What is the definition of an invertible function?
What is the definition of an invertible function?
In the context of functions, what does the term 'inverse' refer to?
In the context of functions, what does the term 'inverse' refer to?
Why is it beneficial to prove a function is one-one and onto when determining its invertibility?
Why is it beneficial to prove a function is one-one and onto when determining its invertibility?
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If a function f : X → Y is invertible, what can be concluded about f?
If a function f : X → Y is invertible, what can be concluded about f?
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How can proving a function to be one-one and onto help establish its invertibility?
How can proving a function to be one-one and onto help establish its invertibility?
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For the function f(x) = x^4, is f one-one and onto?
For the function f(x) = x^4, is f one-one and onto?
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For the function f(x) = 3x, is f one-one and onto?
For the function f(x) = 3x, is f one-one and onto?
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If f : A → B and g : B → C are functions, what does the composition gof represent?
If f : A → B and g : B → C are functions, what does the composition gof represent?
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In the context of functions, what does it mean for a function to be 'many-one'?
In the context of functions, what does it mean for a function to be 'many-one'?
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What does it mean for a function to be 'onto'?
What does it mean for a function to be 'onto'?
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When proving invertibility of a function, what property must the function satisfy?
When proving invertibility of a function, what property must the function satisfy?
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What is the defining characteristic of a one-one function?
What is the defining characteristic of a one-one function?
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Which of the following functions is NOT one-one based on the given information?
Which of the following functions is NOT one-one based on the given information?
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What does an onto function ensure according to the text?
What does an onto function ensure according to the text?
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Which function from the given figures is onto?
Which function from the given figures is onto?
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A function that is both one-one and onto is known as:
A function that is both one-one and onto is known as:
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What is the defining characteristic of a many-one function?
What is the defining characteristic of a many-one function?
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