analyzing rational functions

If P(x) and Q(x) are two polynomials in x, then the ratio of two polynomials, is called a rational function, whe..

If the degree of the numerator is greater than the degree of the denominator in a rational fraction, then the rational function is called improper rational function. Like the case of improper fractions reducible to an integer added to a proper fract..

Which of the following is a rational function? => f ( x ) = 4 - 9 x 2 - 9 x or f ( x ) = 9 x + 2 7 x - 4 or f ( x ) = 9 x + 4 x - 9 or f ( x ) = 9 x - 4..

(x) is said to be continuous at x = a, if (i) f(a) is defined If f 1 and f 2 are continuous functions, then Every polynomial is continuous. Every rational function is continuou..

Identify the basic rational function f ( x ) = 1 x from the graphs. => Graph 5 or Graph 4 or Graph 2 or Graph 3 or Graph 1..

Predict the nature of the solutions of the function represented by the graph shown. => two complex conjugate numbers or one real, rational number (double) or two real, irrational, unequal numbers or two real, rational, unequal numbers..

The volume of a cone is 6 x 3 + 29 x and its height is 3( x - 3), where x > 3. Represent the base area of the cone as a rational function. Volume of a cone = 1 3 × base area × height. => 6 x 3 + 2 9 x x - 3 or 6 x 3 + 2 9 x 3 ( x - 3 ) or (6 x 3 + 29 x )( x - 3) o..

Draw a table of values for the rational function y = 4 x 2 + 6 x for x = 1, 2, 3, 4, 5. => x 1 2 3 4 5 y 10 11 18 17.5 21.2 or x 1 2 3 4 5 y 10 14 18 22 26 or x 1 2 3 4 5 y 10 11 14 17.5 21.2 or x 1 2 3 4 5 y 10 20 30 40 50..

If the function f ( x ) = k x n is an odd function and n is an integer greater than 1, then which of the following is correct? => n is a rational number or n is even or n is odd or n is an irrational number..

Every rational function is continuous at each point of its domai..