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How to find the hole of a function.
HOW TO FIND THE HOLE OF A RATIONAL FUNCTION
In this section, you will learn how to find the hole of a rational function
And we will be able to find the hole of a function, only if it is a rational function.
Hole coordinate calculator
That is, the function has to be in the form of
f(x) = P/Q
Example : Rational Function
Steps Involved in Finding Hole of a Rational Function
Let y = f(x) be the given rational function.
Step 1 :
If it is possible, factor the polynomials which are found at the numerator and denominator.
Step 2 :
After having factored the polynomials at the numerator and denominator, we have to see, whether there is any common factor at both numerator and denominator.
Case 1 :
If there is no common factor at both numerator and denominator, there is no hole for the rational function.
Case 2 :
If there is a common factor at both numerator and denominator, there is a hole for the rational function.
Step 3 :
Let (x - a) be the common factor found at both numerator and denominator.
Now we have to make (x - a) equal to zero.
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