To determine what type of discontinuity, check if there is a common factor in the numerator and denominator of. A point of discontinuity occurs when a number is both a zero of the numerator and denominator. Since is a zero for both the numerator and denominator, there is a point of discontinuity there. To find the value, plug in into the final simplified equation. Since the final function is , and are points of discontinuity. If you've found an issue with this question, please let us know.
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Email address: Your name:. Possible Answers:. Correct answer:. Explanation : Factorize the numerator for the function: The removable discontinuity is since this is a term that can be eliminated from the function. To do this, you can use the following commands:. In this command, c is the value of the horizontal asymptote and c1 and c2 are the range of the graph. Since a vertical line is not a graph of any function, so Plot won't help.
However, Mathematica easily handles this challenge, while plotting a horizontal line is straight forward. We present several options to plot vertical lines. Mathematica can easily add the vertical line. The range of this function is 1 to 3. Journey through a learning brain. Ratio of line segments by phinah [Solved! Coordinates of intersection of a tangent from a given point to the circle by Yousuf [Solved! Not getting how to calculate function equation from graph by HarshalDalal [Solved!
Domain and range by shaikshavali [Solved! How to obtain 0. Aureli [Solved! What is the function for the number 8? Name optional. Introduction to Functions 2. Functions from Verbal Statements 3. Rectangular Coordinates 4. The Graph of a Function 4a. Here are some examples illustrating how to ask for discontinuities.
Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. Given a one-variable, real-valued function , there are many discontinuities that can occur. The simplest type is called a removable discontinuity. Informally, the graph has a "hole" that can be "plugged. Put formally, a real-valued univariate function is said to have a removable discontinuity at a point in its domain provided that both and exist.
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