Students of mathematics teacher candidates are required to have good math and communication skills. Therefore, students of mathematics teacher candidates need to have good imagery modalities like the rational-irrational function graph. To get the imaginary student of mathematics teacher candidate in describing the rational-irrational function graph used qualitative research method. The subjects criteria are the students of mathematics education program, pursued the real course of analysis, and have not got the material to describe the rational-irrational function graph. The research data was taken by using the task test. The data were analyzed by categorizing, looking at the independence in describing, and looking at the logic or way of thinking. The research results showed that there are ten models (5 separate models and five combined models) of students' imaginary student of mathematics to the graph of a rational-irrational function. Mathematics lectures need to be emphasized to enrich students' imaginings on rational-irrational function graphs.