In the applet below is intended to help you understand the connection between the graph of a function and the function itself. Recall that a function can be thought of as a machine which takes an ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...

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.

If \(f(x) = x^2\), then \(af(x) = a(x^2)\). This tells us that we need to multiply each of the \(y\) coordinates on the graph by \(a\) in order to stretch the original graph. Looking at some ...

This is a preview. Log in through your library . Abstract A class of global Lyapunov functions is revisited and used to resolve a long-standing open problem on the uniqueness and global stability of ...

CBSE Class 12 Maths Mind Map: The new school session is underway, and most students have begun their preparation for the next board exams. Class 12 is no joke and requires consistent practice. The ...