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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.
What else can I help you with?
What are the equation of the asymptotes for each graph?
that's simple an equation is settled of asymptotes so if you know the asymptotes... etc etc Need more help? write it
Find an equation for the hyperbola with foci and asymptotes?
find the constant difference for a hyperbola with foci f1 (5,0) and f2(5,0) and the point on the hyperbola (1,0).
How many asymptotes does a ellipse have?
None.
Why are asymptotes important characteristics of rational functions?
Asymptotes are one way - not the only way, but one of several - to analyze the general behavior of a function.
How do you find asymptotes of implicit functions?
Substitute y = mx + b into the equation and then use the fact that there must a double root (at infinity)
What are the three types of asymptotes?
Three types of asymptotes are oblique/slant, horizontal, and vertical
Can a rational function have no vertical horizontal oblique asymptotes?
No, it will always have one.
How do you solve asymptote?
To solve for asymptotes of a function, you typically look for vertical, horizontal, and oblique asymptotes. Vertical asymptotes occur where the function approaches infinity, typically at values where the denominator of a rational function is zero but the numerator is not. Horizontal asymptotes are determined by analyzing the behavior of the function as it approaches infinity; for rational functions, this involves comparing the degrees of the polynomial in the numerator and denominator. Oblique asymptotes occur when the degree of the numerator is one higher than that of the denominator, and can be found using polynomial long division.
How do you find horizontal and vertical asymptotes?
finding vertical asymptotes is easy. lets use the equation y = (2x-2)/((x^2)-2x-3) since its a rational equation, all we have to do to find the vertical asymptotes is find the values at which the denominator would be equal to 0. since this makes it an undefined equation, that is where the asymptotes are. for this equation, -1 and 3 are the answers for the vertical ayspmtotes. the horizontal asymptotes are a lot more tricky. to solve them, simplify the equation if it is in factored form, then divide all terms both in the numerator and denominator with the term with the highest degree. so the horizontal asymptote of this equation is 0.
What are the slopes of the hyperbola's asymptotes?
If a hyperbola is vertical, the asymptotes have a slope of m = +- a/b. If a hyperbola is horizontal, the asymptotes have a slope of m = +- b/a.
What are the equation of the asymptotes for each graph?
that's simple an equation is settled of asymptotes so if you know the asymptotes... etc etc Need more help? write it
What do the asymptotes represent when you graph the tangent function?
When you graph a tangent function, the asymptotes represent x values 90 and 270.
Find an equation for the hyperbola with foci and asymptotes?
find the constant difference for a hyperbola with foci f1 (5,0) and f2(5,0) and the point on the hyperbola (1,0).
How many asymptotes does a ellipse have?
None.
What rhymes with asymptotes?
music notes
Does an ellipse have asymptotes?
ellipses do have asymptotes, but they are imaginary, so they are generally not considered asymptotes. If the equation of the ellipse is in the form a(x-h)^2 + b(y-k)^2 = 1 then the asymptotes are the lines a(y-k)+bi(x-h)=0 ai(y-k)+b(x-h)=0 the intersection of the asymptotes is the center of the ellipse.
Why are asymptotes important characteristics of rational functions?
Asymptotes are one way - not the only way, but one of several - to analyze the general behavior of a function.
