Equivalent relation and function

Homework is graded both on correctness and on presentation/style.
• Your proofs should be written in complete sentences, starting with capitals and ending with periods. They should be in paragraph form, similar to the proofs in the textbook. For example, you shouldn’t put each sentence on a new line. Paragraphs should be used to break longer proofs into logical chunks.
• Don’t use informal abbreviations such as three dots for “therefore.” Logical symbols can be used when they clarify things to the reader, but English words can often be more effective.
• Include all of the steps that are needed to logically justify every claim you make. Do not include unnecessary steps. Try to be concise and complete.
• Do not submit any rough work. Do your rough work on scratch paper, and only submit a clearly and neatly written answer. Do not show a table of givens and goals. Do not use Venn diagrams.
• Do not cross out or erase more than a word or two. If you write each final solution on a new page, it’s easy to start over on a fresh page when you’ve made a large error.
• You should do the work on your own. Read the course syllabus for the rules about scholastic offences, which include sharing solutions with others, uploading material to a website, viewing material of others or on a website (even if you don’t use it), etc. The penalty for cheating on homework will be a grade of 0 on the homework set as well as a penalty of negative 5% on the overall course grade.
• We may not grade every question.