Graphing Rational Functions
Previously we have discussed about how to solve equations with fractions and In today's session we are going to discuss about Rational numbers, They are those numbers which represent the number ‘x’ and ‘y’ in the form x / y. In the given form x can be defined as value of numerator and y can be defined as value of denominator. When we use the concept of rational numbers with the arithmetical function then concepts are used by rational function. In a mathematical definition rational function can be described by in the given form:
f ( e ) = a ( e ) / b ( e )
In the above form of rational function, f (e) is a function of ‘e’ and ‘a (e)’ and ‘b(e)’ are the polynomial functions. In the function value domain of function f is the set of all real numbers. One thing to always remember is the value of denominator in function of e, it means value of b(e) is not equal to zero. If in the rational function’s denominator does not contain a variable value than that function is not considered as rational function. Example: suppose f (y) = y + 4 / 3, here the value of denominator is not a variable then we can say that this is not a rational function. After obtaining various value of function f (e), we can plot this value on graph. These concepts are known as Graphing Rational Functions.
Now in the following example we show you how to solve the rational function:
Example: Solve the given rational function:
f (e) = e + 2 / e – 4
Solution: In the above function value we need to put the value of e in that manner which not makes the denominator zero.
So, excepting value 4 we can put any real number into the function or denominator. So by putting x = 5 the f (e) will be,
f (5) = 5 + 2 / 5 – 4
f (5) = 3
In the same manner by putting value another value we can obtain another function’s value.
In the next session we are going to discuss conic section and You can visit our website for getting information about how to factor polynomials and Political Science Tamilnadu Board Sample Paper.
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