If the numerator is multiple of the denominator the resulting graph shall reduce to a straight line (the slant asymptote). To avoid this the numerator must be altered (add or subtract something). So instead of
Step 1: Graph the original function. The parent rational function looks like this: Step 2: Rewrite the original function, applying the transformations described. Let's take it one transformation at a time. The first transformation is to vertically stretch the graph by a factor of 7. This mean...
We will use these steps, definitions, and equations to determine the end behavior of rational functions in the following two examples. Example Problem 1: Determining the End Behavior of a Rational Function Determine the end behavior of the rational function. ...
Making a Polynomial Function with Irrational Zeroes: If we need to make a polynomial function, with one independent variable, with Irrational Zeroes, we can do it choosing a second-degree polynomial with irrational roots. Answer and Explanation:1 There exist infinite forms to make a polynomial wi...
Ratchford B., and Haines G (1987), "A Theory o f How Intransitive Consumers Make Decisions." Journal o f Economic Psychology. Vol.8, No.3, pp.173-298.Haines, George H., Jr. and Brian T. Ratchford (1987), "A Theory of How Intransitive Consumers Make Decisions," Journal of Economic...
Not a function: “one to many“. In other words, let’s say you had one x-value that maps to many y-values. For example, — in coordinate notation — (2,1) and (2,10). If the first number (the x-value) repeats, then you do not have a function. To put that another way,...
We shall see in this article how to make a presentation with LaTeX, using the powerful class Beamer. If you want to make an outstanding “stressfree” presentation and bring your ideas or your work under a whole new light, let’s get started!!!
But consider a scenario where he is actually aware that a given used car has defects that he has been asked by his employer not to disclose, in order to make a quick sale and get rid of the lemon. That’s where his duty to humanity at large kicks in: if he followed through, he ...
How to write a value proposition: 3 options If you’re intentional about creating a value proposition, it can help clarify the way forward for your entire company. However, including too many voices early on can water down your intent in an effort to make everyone happy, and, ironically, ...
Computer vision technology is moving more and more towards a three-dimensional approach, and plant phenotyping is following this trend. However, despite its potential, the complexity of the analysis of 3D representations has been the main bottleneck hind