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To determine the equation of the asymptote of a graph, you typically need to analyze the function's behavior as it approaches certain values (often infinity) or points of discontinuity. For rational functions, vertical asymptotes occur where the denominator equals zero, while horizontal asymptotes can be found by comparing the degrees of the numerator and denominator. If you provide a specific function, I can give you its asymptote equations.

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1y ago

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Related Questions

Can a slant asymptote cuts the graph?

No. If it cuts a graph it is not an asymptote.


How do you find an oblique asymptotes?

An oblique asymptote is another way of saying "slant asymptote."When the degree of the numerator is one greater than the denominator, an equation has a slant asymptote. You divide the numerator by the denominator, and get a value. Sometimes, the division pops out a remainder, but ignore that, and take the answer minus the remainder. Make your "adapted answer" equal to yand that is your asymptote equation. To graph the equation, plug values.


Can the graph of a function have a point on a vertical asymptote?

No. The fact that it is an asymptote implies that the value is never attained. The graph can me made to go as close as you like to the asymptote but it can ever ever take the asymptotic value.


Why is it okay for a graph to cross one of its's horizontal asymptotes?

There is nothing in the definition of "asymptote" that forbids a graph to cross its asymptote. The only requirement for a line to be an asymptote is that if one of the coordinates gets larger and larger, the graph gets closer and closer to the asymptote. The "closer and closer" part is defined via limits.


Can the graph of a polynomial function have a vertical asymptote?

no


An asymptote is a line that the graph of a function?

approaches but does not cross


What is a line that a graph gets closer and closer to but does not touch?

Asymptote


Why doesnt the graph of a rational function cross its vertical asymptote?

It can.


Asymptote?

a line that a graph approaches as you move away from the origin


What do the graph of this asymptote y1x 3?

your question is not understandable your question is not understandable


What is the domain range asymptote and intercept of the equation y equals 4 times 2 exponent x?

y = 4(2x) is an exponential function. Domain: (-∞, ∞) Range: (0, ∞) Horizontal asymptote: x-axis or y = 0 The graph cuts the y-axis at (0, 4)


Name the functions whose graph looks like a set of stairs?

asymptote

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