# Group Homomorphisms: Definitions & Sample Calculations

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question 1 of 3

### Which of the following is a correct explanation for why the function ƒ(x) = log(x) is a homomorphism from (R+, ·) to (R, +)?

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### 2. Let ƒ(x) = |x|. Is ƒ a homomorphism from the integers under addition to the whole numbers under addition?

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Our informative quiz and worksheet gives you a chance to gauge your comprehension level when it comes to group homomorphisms. When you answer these questions, you'll be asked about what makes a function a homomorphism, how to solve word problems involving homomorphisms and how to identify these functions when given examples.

## Quiz & Worksheet Goals

This quiz asks you to perform the following objectives:

• Explain why a function is a homomorphism
• Solve word problems
• Identify homomorphic functions from examples
• Complete functions that are homomorphisms when given part of the function

## Skills Practiced

• Problem solving - use acquired knowledge to solve word practice problems
• Reading comprehension - ensure that you draw the most important information from the related math lesson
• Information recall - access the knowledge you've gained regarding why a function is a homomorphism
• Knowledge application - use your knowledge to answer questions about how to complete homomorphisms