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4 State whether the following functions are injective and/or surjective. Let R* denote the nonnegative real numbers. That is, R+ = [0, ∞0). State "injective" or "not injective" and "surjective" or "not surjective" in each case explicitly, as appropriate. 4.1 ƒ: R → R where f(x) = x² 4.2 g: R+ → R where g(x) = x² 4.3 h: R → R+ where h(x) = x² 4.4 k: R+ → R+ where k(x) = 2²

4 State whether the following functions are injective and/or surjective. Let R* denote the nonnegative real numbers. That is, R+ = [0, ∞0). State "injective" or "not injective" and "surjective" or "not surjective" in each case explicitly, as appropriate. 4.1 ƒ: R → R where f(x) = x² 4.2 g: R+ → R where g(x) = x² 4.3 h: R → R+ where h(x) = x² 4.4 k: R+ → R+ where k(x) = 2²

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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I'm having trouble figuring out how to denote if this is surjective or injective, please help me understand surjective and injectives for this, I'm really confused for this. Thanks for the help!

4 State whether the following functions are injective and/or surjective. Let R+ denote the nonnegative real numbers. That is, R+ = [0, ∞). State "injective" or "not injective" and "surjective" or "not surjective" in each case explicitly, as appropriate. 4.1 ƒ: R → R where f(x) = 1² 4.2 g: R+R where g(x) = x² 4.3 4.4 h: R → R+ where h(x) = x² k: R+ → R+ where k(x) = ²
Transcribed Image Text:4 State whether the following functions are injective and/or surjective. Let R+ denote the nonnegative real numbers. That is, R+ = [0, ∞). State "injective" or "not injective" and "surjective" or "not surjective" in each case explicitly, as appropriate. 4.1 ƒ: R → R where f(x) = 1² 4.2 g: R+R where g(x) = x² 4.3 4.4 h: R → R+ where h(x) = x² k: R+ → R+ where k(x) = ²
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