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since it is a rational function u need to consider the following key things;
1.asymtotes which include the following
-vertical
-horizontal
-oblique
given any question of rational funcion at least one must appear
2.for max and min. find the first derivative of f(x)
3.for concavity and inflection point find the second derivative and equate to zero f"(x)=0
from here any other idear of curve sketching is valid
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Why are rational functions called rational functions?
Because they are represented as fractions.
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.
Are logarithmic functions rational expressions?
Sometimes :)
How does my knowledge of polynomial function prepare me to understand rational function?
A rational function is the quotient of two polynomial functions.
Why does a rational number plus a rational number or a rational number multiplied by a rational number equal to rational number?
The way in which the binary functions, addition and multiplication, are defined on the set of rational numbers ensures that the set is closed under these two operations.
Why are rational functions called rational functions?
Because they are represented as fractions.
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.
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
Are logarithmic functions rational expressions?
Sometimes :)
Is sketching an adverb?
No, the word sketching is not an adverb.Since sketching is an action, it is a verb.
What is a rational equation or rational function?
It is any function which can be written as the ratio of two polynomial functions.
Is sketching a gerund participle or verb phrase?
Sketching can be both a gerund (a verb form ending in -ing that functions as a noun) and a verb phrase (a group of words that includes a verb and its complements, objects, or modifiers). It depends on the context in which it is used within a sentence.
Does every rational function has at least one horizontal asymptote?
Nope not all the rational functions have a horizontal asymptote
