Learn the definition of an asymptote and understand its meaning in algebra. See how to graph asymptotes and recognize them in equations through...
Graphing Rational Functions That Have Polynomials of Various Degrees: Steps & Examples Domain & Range of Rational Functions | Definition & Graph Asymptotes of Rational Functions | Formula, Types & Examples Graphing Rational Functions That Have Linear Polynomials: Steps & Examples Start...
Removable Discontinuity | Definition, Graph & Examples Rationalizing the Numerator | Steps & Examples How to Find Critical Numbers of a Function | Overview & Examples End Behavior of a Function | Definition, Rules & Examples Finding the Derivative of Absolute Value | Overview & Examples Even & Od...
The x=2 is a vertical asymptotefrom the previous graph. As x approaches two from the right and left sides, the function goes to positive infinity and negative infinity, respectively. The x-axis or line y=0 is the horizontal asymptote. The function gets closer to zero as x approaches ...
Amy has a master's degree in secondary education and has been teaching math for over 9 years. Amy has worked with students at all levels from those with special needs to those that are gifted. To recap, a vertical asymptote is an invisible line which the graph never touches. The graph ...
Determine the equation(s) of any vertical asymptotes of the following function. Use the following definition of a vertical asymptote as your justification. Definition: If \displaystyle \lim_{x \to a} f(x) = \pm \infty, \displaystyle \lim_{...