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Practice Problems
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1
If f(x) = x + 5, what is f(2)?
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Answer 7
2
In a function, how many codomain elements can each domain element be paired with?
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Answer Exactly one
3
Is f(x) = x² from R to R a one-one function?
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Answer No, because f(2)=f(-2)
4
A function that is both one-one and onto is called what?
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Answer Bijective
5
What does it mean for a function to be onto?
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Answer Every element in the codomain has a pre-image
6
What is sin⁻¹(1)?
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Answer π/2
7
What is tan⁻¹(1)?
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Answer π/4
8
What is the domain of sin⁻¹(x)?
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Answer [-1, 1]