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What else can I help you with?
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.
What are some similarities between rational functions and polynomial function?
Rational functions and polynomial functions both involve expressions made up of variables raised to non-negative integer powers. They can have similar shapes and behaviors, particularly in their graphs, where they may exhibit similar end behavior as the degree of the polynomial increases. Additionally, both types of functions can be manipulated algebraically using addition, subtraction, multiplication, and division, although rational functions can include asymptotes due to division by zero, which polynomial functions do not have. Both functions can also be analyzed using techniques such as factoring and finding roots.
What is the equation of the asymptote of the graph of?
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.
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.
In mathematics what is a symptote?
In mathematics, a asymptote is a straight line that a curve approaches but never quite reaches. Asymptotes can occur in various mathematical functions, such as rational functions or exponential functions. They are used to describe the behavior of a function as the input approaches infinity or negative infinity.
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 expression 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 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.
