Meaning of horizontal asymptote in the graph of increasing profit of a company
A horizontal asymptote can be defined as the y-value on a graph which a function approaches but does not actually reach. Here is a simple graphical example where the graphed function approaches, but never quite reaches. In fact, no matter how much it is extended, it will never ever reach 0. However, sometimes horizontal asymptotes may only appear in one direction, and may be crossed at small values of x. They will show up for large values and show the trend of a function as x goes towards positive or negative infinity.
Meaning of horizontal asymptote in the graph of increasing profit of a company
The domain of this function is This graph has horizontal asymptote(s) at This graph has vertical asymptote(s) at This function has a root at sa root at Give an equation for the graph of this rational function
For the following function, find the hole, x-intercept, y-intercept, vertical asymptote, horizontal asymptote, and oblique asymptote. If something doesn't exist, enter NONE (in all caps). $(x) = 42 hole (,Y):( x-intercept (x, y):( , y-intercept (x, y):( vertical asymptote: vertical asymptote: horizontal asymptote: oblique asymptote:
please answer all Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function. 9) f(x) = 5x + 3 6 Solve the equation 10) log5 (x + 1) = 1 + log5 (x - 1) +
7. For each function below, find the intercept(s) (if any) and asymptote(s) (both horizontal and vertical, if any), and then sketch the graph with- out using a calculator; you must properly mark/label the ares, all in- tercept(s), horizontal or vertical asymptote(s) to get full credits: (i) y = 22-1 – 2 (ii) y=1- log2 (x + 2) x-intercept: 2-intercept: y-intercept: y-intercept: Asymptote: Asymptote: Graph: Graph:
There is a vertical asymptote at x=2, and a horizontal asymptote at y=3. Construct a suitable rational function f(x).
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1 12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1
11. +i-m points OSColAlg1 5.6.464-473b.WA.Tut. 0/100 Submissions Used Use the graph to find the horizontal asymptote of the rational function. 10r 10 -10 -5 -10L . Tutorial . We were unable to transcribe this image
21. 8 pts For the function g(x) = = 4x2-1 214x A. Find the horizontal asymptote. B. Find the vertical asymptote(s). 0. Find the x intercept(s). D. Solve g(x) <0. Use interval notation. E. Graph g(x)
Create a rational function such that the graph of has vertical asymptotes at x=5 and x= -7, a hole at x=2 , and a horizontal asymptote at y = 14. By creating a rational function, you are to write rule for this function. There are many correct solutions here.
Find the horizontal and vertical asymptotes of the graph of the function. (You need not sketch the graph. Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) x? 9(x) - 9 horizontal asymptote y = vertical asymptote