Homework Help is Here – Start Your Trial Now!
Math
Algebra
QUESTION 1 (1.1) Let f: R→ R be defined by f(x) = x². (1.1.1) Is f one-to-one? Explain. (1.1.2) Is f onto? Explain. (1.2) Let f: X→ Y be a function and let A, B C X. Prove that ƒ(AUB) = f(A) U ƒ(B).

QUESTION 1 (1.1) Let f: R→ R be defined by f(x) = x². (1.1.1) Is f one-to-one? Explain. (1.1.2) Is f onto? Explain. (1.2) Let f: X→ Y be a function and let A, B C X. Prove that ƒ(AUB) = f(A) U ƒ(B).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
See similar textbooks
icon
Related questions
Question
QUESTION 1 (1.1) Let f: R→ R be defined by f(x) = r². (1.1.1) Is f one-to-one? Explain. (1.1.2) Is f onto? Explain. (1.2) Let f: X→ Y be a function and let A, B C X. Prove that f(AUB) = f(A) U ƒ(B).
Transcribed Image Text:QUESTION 1 (1.1) Let f: R→ R be defined by f(x) = r². (1.1.1) Is f one-to-one? Explain. (1.1.2) Is f onto? Explain. (1.2) Let f: X→ Y be a function and let A, B C X. Prove that f(AUB) = f(A) U ƒ(B).
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS