An equation of the form \(y = mx + c\) where \(m\) and \(c\) are numbers, gives a straight line when values of \(x\) and corresponding values of \(y\) are plotted on a grid. A straight line is a ...

Look for the leftmost and rightmost points of the graph. If the graph extends indefinitely to the left or right, the domain includes negative or positive infinity, respectively. Note any breaks or ...

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 \(a \textgreater 0 \) ...

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

Graphs of Sine and Cosine 1.2 An applet illustrating how the graphs of sine and cosine are related to the unit circle. Transformations of Functions 1.3 An applet illustrating how transformations ...

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 ...