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 ...

A translation is a movement of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. The graph of \(f(x) = x^2\) is the same as the graph of \(y = x^2\).

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 ...

Support your confidence in this topic by refreshing your knowledge of substitution and changing the subject of formulae. A function takes an input value, applies a rule to it, and produces an output ...

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 ...