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TITLE :-RATIONAL GRAPHICAL REPRESENTATION
WHAT IS RATIONAL FINCTION???
• Rational function is the ratio of polynomials where the the polynomial in
the denominator should not be equal to zero.
EXAMPLE
SETPS INVOLVED IN GRAPHICAL RATIONAL FUNCTION
• Find the asymptotes of the rational function.
• Draw the asymptotes as dotted lines.
• Find the x -intercept (s) and y -intercept of the rational function, if any.
• Find the values of y for several different values of x .
• Plot the points and draw a smooth curve to connect the points. Make
sure that the graph does not cross the vertical asymptotes.
ASYMPTOTE
• A line such that the distance between the curve and the line
approaches zero as one or both of the x or y coordinates tends to
infinity.
• When X tends to infinity then we get horizontal asymptotes.
• When Y tends to infinity we get vertical asymptotes.
STEP 1
STEP II
GRAPHICAL REPRESENTATION OF INTERCEPTS
STEP III
GRAPHICALLY REPRESENTATION
RATIONAL GRAPHICAL REPRESENTATION.pptx

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RATIONAL GRAPHICAL REPRESENTATION.pptx

  • 1. TITLE :-RATIONAL GRAPHICAL REPRESENTATION
  • 2. WHAT IS RATIONAL FINCTION??? • Rational function is the ratio of polynomials where the the polynomial in the denominator should not be equal to zero.
  • 4. SETPS INVOLVED IN GRAPHICAL RATIONAL FUNCTION • Find the asymptotes of the rational function. • Draw the asymptotes as dotted lines. • Find the x -intercept (s) and y -intercept of the rational function, if any. • Find the values of y for several different values of x . • Plot the points and draw a smooth curve to connect the points. Make sure that the graph does not cross the vertical asymptotes.
  • 5. ASYMPTOTE • A line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity. • When X tends to infinity then we get horizontal asymptotes. • When Y tends to infinity we get vertical asymptotes.