Question

a group of teachers discussed their hobbies. the table lists the teachers hobbies according to the subjects they teach. can a teachers hobby be represented as a function of the subject that teacher teaches? subject hobby english wave surfing history play cards math rock climbing gym play chess math rock climbing spanish reading books english wave surfing physics wind surfing choose 1 answer: a yes b no

Explanation:

Step1: Recall function definition

A function is a relation where each input (subject) has exactly one output (hobby).

Step2: Check each subject

• English: Hobby is Wave surfing (consistent).
• History: Hobby is Play cards (consistent).
• Math: Hobby is Rock climbing (consistent, two Math entries same hobby).
• Gym: Hobby is Play chess (consistent).
• Spanish: Hobby is Reading books (consistent).
• Physics: Hobby is Wind surfing (consistent).
• Repeated English and Math have same hobbies. So each subject maps to one hobby.

Answer:

A. Yes