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
Because they are represented as fractions.
Yes. Rational functions must contain rational expressions in order to be rational.
Sometimes :)
A rational function is the quotient of two polynomial functions.
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.
Because they are represented as fractions.
Yes. Rational functions must contain rational expressions in order to be rational.
Yes. Rational functions must contain rational expressions in order to be rational.
Yes. Rational functions must contain rational expressions in order to be rational.
Yes. Rational functions must contain rational expressions in order to be rational.
Rational values- those are necessary to the functions and fulfillment of intellect and will.
a
Sometimes :)
No, the word sketching is not an adverb.Since sketching is an action, it is a verb.
It is any function which can be written as the ratio of two polynomial functions.
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.
Nope not all the rational functions have a horizontal asymptote