This paper presents a conceptual analysis for students' images of graphs and their extension to graphs of two-variable functions. We use the conceptual analysis, based on quantitative and ...

Imagine 100 dots scattered in front of you. In a haphazard variation on connect-the-dots, start drawing lines between the points. How many lines can you draw without producing a triangle? A square? An ...

Statement 1: A rational function has a vertical asymptote where the denominator is zero. The denominator x - 2 = 0 when x = 2. Therefore, f (x) has a vertical asymptote at x = 2. The statement is true ...

This paper extends uniqueness results due to Boas and Trembinska, on entire functions with exponential growth whose real part vanishes on lattice points. Here the case is studied where the real part ...