Provide an appropriate response.Let T be the set of teachers at a high school and let S be the set of students enrolled at that school. Determine which of the following correspondences define a function. Explain.(A) A student corresponds to the teacher if the student is enrolled in the teacher's class.(B) A student corresponds to every teacher of the school.
What will be an ideal response?
Choice (A) defines a function. To each element (student) of the first set (or domain), there corresponds exactly one element (teacher) of the second set (or range).
Choice (B) does not define a function. An element (student) of the first set (or domain) corresponds to more that one element (teacher) of the second set (or range).
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