One of the pitfalls of functions in Algebra II is the point of discontinuity. Points of discontinuity, also called removable discontinuities, are moments within a function that are undefined and appear as a break or hole in a graph. A point of discontinuity is created when a function is presented as a fraction and an inputted variable creates a denominator equal to zero. Evaluating a function for points of discontinuity aids in solving and graphing the function.
Obtain the equation of a function. For this example, the expression is f(x) = ( x^2 + x - 2 ) / x-2.
Rewrite the denominator expression as an equation set to zero. For this example, the denominator expression x - 2 becomes the equation x - 2 = 0.
Solve the denominator's equation. For this example, x - 2 = 0 becomes x = 2. The function has a point of discontinuity when x equals 2.
Style Your World With Color
Barack Obama's signature color may bring presidential power to your wardrobe.View Article
See how the colors in your closet help determine your mood.View Article
Understand how color and its visual effects can be applied to your closet.View Article
Explore a range of beautiful hues with the year’s must-have colors.View Article