7. Check if the following functions f: R → R are injective or surjective. Prove or give counterexamples as needed: 1. f(x) = x³ 2. f(x) = (x − 3)² +2 3. f(x) = 5x +4 4. f(x) = sin(x)

Calculus For The Life Sciences
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ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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7. Check if the following functions f: R → R are injective or surjective. Prove or give
counterexamples as needed:
1. f(x) = x³
2. f(x) = (x - 3)² +2
3. f(x) = 5x + 4
4. f(x)=sin(x)
Transcribed Image Text:7. Check if the following functions f: R → R are injective or surjective. Prove or give counterexamples as needed: 1. f(x) = x³ 2. f(x) = (x - 3)² +2 3. f(x) = 5x + 4 4. f(x)=sin(x)
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