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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.
