) Consider the following function: f₁ R → R given by f₁(x): Decide whether this function is injective, surjective, a bijection. fi is an injection: Not Answered fi is a surjection: Not Answered f₁ is a bijection: Not Answered = -3x4 - 5. ) Let the set A = {-1,0, 1} and consider the following function: f₂ : A → A given by f₂(x) = -(-x)³. You are required to state whether this function is injective, surjective, a bijection. f2 is an injection: Not Answered f2 is a surjection: Not Answered f2 is a bijection: Not Answered

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 2ECP
Question

True or false

a) Consider the following function:
f₁ R R given by f₁(x) = -3x4 - 5.
Decide whether this function is injective, surjective, a bijection.
• f₁ is an injection: Not Answered
• f₁ is a surjection: Not Answered
• f₁ is a bijection: Not Answered
b) Let the set A = {-1,0, 1} and consider the following function:
f₂ : A → A given by ƒ₂(x) = −(−x)³.
You are required to state whether this function is injective, surjective, a bijection.
• f₂ is an injection: Not Answered
●
f2 is a surjection: Not Answered
• f₂ is a bijection: Not Answered
Transcribed Image Text:a) Consider the following function: f₁ R R given by f₁(x) = -3x4 - 5. Decide whether this function is injective, surjective, a bijection. • f₁ is an injection: Not Answered • f₁ is a surjection: Not Answered • f₁ is a bijection: Not Answered b) Let the set A = {-1,0, 1} and consider the following function: f₂ : A → A given by ƒ₂(x) = −(−x)³. You are required to state whether this function is injective, surjective, a bijection. • f₂ is an injection: Not Answered ● f2 is a surjection: Not Answered • f₂ is a bijection: Not Answered
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