How to write an equation from a graph with asymptotes?
Using a graph with asymptotes is a great way to show a limit. If you have a function that approaches a certain value as x approaches a certain value, you can show that limit graphically. A graph with asymptotes is a great way to show that something approaches a limit. If someone were to ask you to graph the limit of the function 1/x, you could draw a line that looks like the graph above. However, you can’t show a function
How to write a linear equation from a graph with a horizontal asymptote?
If you’re working with a graph with a horizontal asymptote you can use the equation to represent the graph. This works only if the graph is continuous at the asymptote. If that isn’t the case, you’ll need to determine the change in the value of the function before and after you hit the asymptote.
How to write an equation from a graph with a horizontal asymptote?
A graph with a horizontal asymptote is a line with a very sharp slope that goes off to infinity as x approaches some value, say, the origin. To write an equation for a graph with a horizontal asymptote, first sketch the curve by hand. Then, find the horizontal line that is closest to it. This is the line the graph asymptotes to as x gets very large. Connecting the two lines gives you your equation.
How to write equations from a graph with asymptotes?
Sometimes graphs with asymptotes will have two or more solutions for the same equation. In these cases, there will be more than one graph equation you can use to represent the same data. If the graphs are simple line graphs, you can use an equation of the form y = f(x) to represent your data. However, if the graphs have multiple asymptotes or include points or areas that aren’t connected to the graph, you’ll need to use a
How to write
In a graph with two asymptotes, write the variable of interest next to the line that is closest to the origin. You will want to use the actual value you got from the graph as your variable. If you have a graph where the line is flat at an asymptote but you want to use the actual value, use a calculator to find the value and plug that in as your variable.