"Relations and Functions" stand out as crucial topics within algebra. These terms, though related, hold distinct mathematical meanings. It's common to feel uncertain about their disparities. To ...

Determine if the following equation represents a function: ...

CBSE Class 12 Mathematics Chapter 1 Relations and Functions Revision Notes: With the 2024 board exams around the corner, the time to put down the books and begin revising the topics has arrived.

In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...

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 ...

In this paper we deal with the following problems: When do the solutions of a collection of differential equations satisfy an elementary relation, that is, when is there an equation of the form R = 0 ...