Domain And Range

Journal on Mathematics Education, 2019

This study attempts to analyze pre-service secondary mathematics teachers’ flexibility of external representations of domain and range of functions. To reach the purpose, a task consisted of thirty question items were designed. Participants of the study were thirty-eight Indonesian pre-service secondary mathematics teachers attending mathematics education department at one private university in Jakarta, Indonesia. Based on the analysis participants written responses, this paper revealed participants’ difficulties in providing a proper and consistent definition of the concept of domain and range of functions. We also disclosed the participants’ lack of flexibility in doing translation among representations under the concept of domain and range of function. In general, participants written responses to the task did not provide evidence of a solid understanding of domain and range. There are several implications of these findings offered for secondary mathematics teacher education’s pr...

The study of student understanding of multivariable functions is of fundamental importance given their role in mathematics and its applications. The present study analyses students' understanding of these functions, focusing on recognition of domain and range of functions given in different representational registers, as well as on uniqueness of function value. APOS and semiotic representation theory are used as theoretical framework. The present study includes results of the analysis of interviews to 13 students. The analysis focuses on student' constructions after a multivariate calculus course, and on the difficulties they face when addressing tasks related with this concept.

2009

The study of student understanding of multivariable functions is of fundamental importance given their role in mathematics and its applications. The present study analyses students' understanding of these functions, focusing on recognition of domain and range of functions given in different representational registers, as well as on uniqueness of function value. APOS and semiotic representation theory are used as theoretical framework. The present study includes results of the analysis of interviews to 13 students. The analysis focuses on student' constructions after a multivariate calculus course, and on the difficulties they face when addressing tasks related with this concept.

A is a mapping, or pairing, of input values with output values. The set of input values is the and the set of output values is the A relation is a provided there is exactly one output for each input. It is not a function if at least one input has more than one output.

2019

The rights of Intellectual property are considered as moral rights. These rights, which come to non-material things, are the product of human thought and mind. They are developed and applied on the ground to become an intellectual product that may be material or moral. Among these ideas and innovations that has been emerged in recent years is Domain names. This term is often related to the domain of intellectual property in its branches. The reason for this is the novelty of this subject and its relevance to the field of information technology, in addition to the similarities that are associated with concepts of intellectual property such as trademarks and trade names. For example, more domain names in the field of intellectual property its disputes under the laws of similar elements such as the trademark. &nbsp

2011

This article presents an inventory what theorists describe as the definition of domain analysis. Survey writings on and of domain analyses for their distinct attributes and arguments. Compile these components and attributes, linking them to their function, and from there. Describe a proposed ideal form of domain analysis. Evidence that while the debate about the substance and form of the epistemic and ontological character of domain analysis will continue, some might find it useful to give shape to their ideas using a particular form that follows function. If our purpose is to delineate and communicate what it is that we are analyzing when we engage in domain analysis, then I hope this small contribution can be of use.