To find a vertical asymptote, first write the function you wish to determine the asymptote of. Most likely, this function will be a rational function, where the variable x is included somewhere in the denominator. As a rule, when the denominator of a rational function approaches zero, it has...
Plug the value x = 0 into the rational function and determine the value of f(x) to find the y-intercept of the function. For example, plug x = 0 into the rational function f(x) = (x^2 – 3x + 2) / (x – 1) to get the value (0 – 0 + 2) / (0 – 1), which is ...
There are a few general rules you can refer to when trying to determine if your function is continuous. For some functions, you need to do a little detective work. (For a more rigorous approach, see: Continuity Test).Sin(x) is an example of a continuous function....
Explain how to find which method of depreciation is to be used based on the asset. Explain the cosine and cotangent trigonometric functions. How can I find the slope of a line on a graph with no number given as the x or y? How can one determine how many vertical asymptotes there are ...
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. ...
Explain the steps to find the inverse of a function. Determine the inverse of f(x) = {(0,1), (2,1), (3,1)}. Will the inverse be a function? Find the inverse of the function: y = 5^x - 9 Explain the sine and cosine functions. Find the inverse of f(x) = 3x- 4 . Wha...
Vertical Asymptotes: First Steps To find a vertical asymptote, first write the function you wish to determine the asymptote of. Most likely, this function will be a rational function, where the variable x is included somewhere in the denominator. As a rule, when the denominator of a rational...
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How can one determine how many vertical asymptotes there are of a function? Does Bohr's correspondence principle apply only to quantum theory? Give an example of the application of this principle to relativity theory. How do I set up mathematical word problems?
From what I know about rational functions and vertical asymptotes (of which, this function has one), I know that the graph will go forever upward and forever downward, so the range is indeed everything other than y = 0. I'll use this to find the domain and range of my inverse. Here...