0
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.
Add your answer:
Earn +20 pts
The vertical of the function secant are determined by the points that are not in the domain?
Asymptotes
What is the horizontal and vertical lines in a coordinate system?
Horizontal is X-Axis and Vertical is Y-Axis.
Is X equals 0 horizontal or vertical?
Vertical.
What is an antonym for vertical?
An antonym for the word 'vertical' is 'horizontal'
What is a vertical and horizontal line?
A vertical line goes North And South and a horizontal line goes East And West.
What are the three types of asymptotes?
Three types of asymptotes are oblique/slant, horizontal, and vertical
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.
Can a rational function have no vertical horizontal oblique asymptotes?
No, it will always have one.
How do you find asymptotes of any function?
Definition: If lim x->a^(+/-) f(x) = +/- Infinity, then we say x=a is a vertical asymptote. If lim x->+/- Infinity f(x) = a, then we say f(x) have a horizontal asymptote at a If l(x) is a linear function such that lim x->+/- Infinity f(x)-l(x) = 0, then we say l(x) is a slanted asymptote. As you might notice, there is no generic method of finding asymptotes. Rational functions are really nice, and the non-permissible values are likely vertical asymptotes. Horizontal asymptotes should be easiest to approach, simply take limit at +/- Infinity Vertical Asymptote just find non-permissible values, and take limits towards it to check Slanted, most likely is educated guesses. If you get f(x) = some infinite sum, there is no reason why we should be able to to find an asymptote of it with out simplify and comparison etc.
How many vertical asymptotes does the graph of this function have?
2
What is the vertical asymptotes for tan2x?
there is non its an infinite line.
The vertical of the function secant are determined by the points that are not in the domain?
Asymptotes
How do you find the gradient of a line?
i think you do Vertical/horizontal
How many non-verticle asymptotes can a rational function have?
Not sure what non-verticle means, but a rational function can have up to 2 non-vertical asymptotes,
How do you find vertical asymptotes for trig functions?
Only the cofunctions have asymptotes. Because csc x = 1/sin x, csc x has vertical asymptotes whenever the denominator is equal to 0, or whenever sin x = 0, which are the multiples of pi (0,1,2,3,4,...). For sec x, it's 1/cos x, thus cos x = 0, x = pi/2 + pi*n, where n is a counting number (0,1,2,etc...). cot x = cos x/sin x, thus its vertical asymptotes are the same as those of csc x. If the function is transformed, look at the number in front of x (for example, csc (2x), that number would be 2)), and divide the fundamental asymptotes (above) by that number. The vertical asymptotes of csc (2x) would be (pi/2, 2pi/2, 3pi/2, etc...).
What is vertical and what is horizontal?
Vertical is up and horizontal is across
Is the san Andreas fault horizontal or vertical?
Vertical and horizontal
