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Why are asymptotes important characteristics of rational functions?
Wiki User
∙ 10y ago
Asymptotes are one way - not the only way, but one of several - to analyze the general behavior of a function.
Wiki User
∙ 10y ago
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Does every rational function has at least one horizontal asymptote?
Nope not all the rational functions have a horizontal asymptote
How is a rational function the ratio of two polynomial functions?
That's the definition of a "rational function". You simply divide a polynomial by another polynomial. The result is called a "rational function".
Can you can use rational functions to study the relationships of inverse variation?
yes
All rational functions have more than one vertical asymptote?
false
What are characteristics of rational numbers?
A rational number can always be written as (one whole number) divided by (another whole number). That's not only a characteristic of a rational number, it's the definition of one.
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,
Can a rational function have no vertical horizontal oblique asymptotes?
No, it will always have one.
Why are rational functions called rational functions?
Because they are represented as fractions.
What rational expression has and as asymptotes on its graph?
There are some characters missing from the question and, without them, the question makes no sense and so cannot be answered.
How many vertical asymptotes can there be in a rational function?
Factoring is usually helpful in identifying zeros of denominators. If there are not common factors in the numerator and the denominator, the lines x equal the zeros of the denominator are the vertical asymptotes for the graph of the rational function. Example: f(x) = x/(x^2 - 1) f(x) = x/[(x + 1)(x - 1)] x + 1 = 0 or x - 1 = 0 x = -1 or x = 1 Thus, the lines x = -1 and x = 1 are the vertical asymptotes of f.
If the equation of a rational function is a rational expression is the function rational?
Yes. Rational functions must contain rational expressions in order to be rational.
If the equation of a function is a rational expressions the function is rational?
Yes. Rational functions must contain rational expressions in order to be rational.
If the equation of a function is a rational expression is the function rational?
Yes. Rational functions must contain rational expressions in order to be rational.
If the equation of a function is a rational expression the function is rational.?
Yes. Rational functions must contain rational expressions in order to be rational.
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 is rational values?
Rational values- those are necessary to the functions and fulfillment of intellect and will.
Which of the following rational functions is graphed below?
a
