What would be the best description of the rule for this function?

Question

BlackTom AI · Accepted Answer

The prompt presents the question: 'What would be the best description of the rule for this function?' and provides one answer option: 'a. Each student is assigned exactly one grade based on their performance in the unit.'

Option analysis:
- Option a: 'Each student is assigned exactly one grade based on their performance in the unit.' This describes a scenario typical of a grading rule in education, where inputs could be students and outputs are grades. However, in the context of describing a mathematical rule for a function, this wording is imprecise. A function rule should describe how an input from the domain is mapped to a single output in the codomain. The phrase 'each student' introduces real-world entities rather than abstract inputs, and 'grade' is a qualitative/quantitative output but the statement does not specify a clear input-output mapping mechanism or rule. Moreover, it does not explicitly express how the input determines the output, only that every student gets one grade, which could still be compatible with a function, but the description itself is not a precise mathematical rule.

In terms of common misconceptions:
- It conflates a real-world process (grading students) with a mathematical function rule, which should be independent of context and specify a clear mapping rule.
- It does not illustrate how the input leads to the output in a single-valued manner beyond the general notion of 'one grade' per student.

If there were other options, we would compare how well each option formalizes the function rule (for example, explicitly stating that f(x) equals some expression or rule applied to x to produce a unique y). Since only this one option is provided, we evaluate it against the idea of a precise function rule and find that it is not a rigorous mathematical description.

Overall, this option points toward a real-world policy rather than a formal function rule, and thus, while it captures the 'one output per input' idea in a broad sense, it lacks the mathematical clarity typically expected of a function description.

What would be the best description of the rule for this function?

查看解析

登录即可查看完整答案

类似问题

Which of the following set of ordered pairs does not represent a function?

Consider the function f:R→R, with the rule f(x). Which of the following would be a valid choice for the rule f(x)?

Question textWhich type of relation is presented in the graph below?[select: (Clear my choice), one to one, many to one, many to many, one to many] Your last answer was interpreted as follows: [math: many to one] \mbox{many to one}

Which of the following relations is not a function? (K:1)

Consider the following function definition.Domain: The set of months {January, February, ..., December}.Codomain: All integers in the range [1, 31].Rule: f(month) = number of days in that month in 2025Which of these statements is true with respect to this function?

Consider the following function definition:Domain: The set of negative integers Codomain: The set of integers Rule: f(x) = x + 7 Which of the following would be an ordered pair belonging to this function?

Which of the following statements is true about functions?

The variable is a complex function that depends on which of the following?

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单