Graphing a rational function, Indicate all asymtopes,holes and crossing of the x-axis r(x)= 4x^7-11x^6+x^5-8x+11/3x^5+x^2-1
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Graphing a rational function, Indicate all asymtopes,holes and crossing of the x-axis
r(x)= 4x^7-11x^6+x^5-8x+11/3x^5+x^2-1
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- Rational Functions and Its GraphRepresent each rational function by its equation, domain, and range, asymptotes, table of values and it's a graphwrite an equation for a rational function with the given characteristics vertical asymptotes at x=-2 and x=4, x-intercepts at (-3,0) and (1,0), horizontal asymptote at y=-2 y=Write an equation for a rational function with a slant asymptote; a hole at (5, -2); x-intercepts at x=−1,7,11; vertical asymptotes at x=2,9; and a positive y-intercept. Explain how you know the equation you produce satisfies all these criteria. Graph your equation as one way to verify/justify that it satisfies the criteria.
- Write an equation for a rational function with the given characteristics. Vertical asymptotes at x= -1, x-intercepts at (-4,0) and (2,0), horizontal asymptotes at y=-3. Enclose numerators and denominators in parentheses. Include a multiplication sign between symbols. f(x)=Horizontal/Slant Asymptotes of Rational Functions For each function, identify the horizontal or slant asymptotes. Can you also find the vertical asymptotes and holes?Make own example of 1. Rational equation with the same number of terms in both sides of the equation. 2. Rational function with 3 as the highest degree with the numerator.
- The graphs of Polynomial Functions can help us identify its key features.. Describe the relationship of the FACTORS (in the equation) and X-INTERCEPTS in the graph. What is the degree of this function? What is its maximum number of turning points.Finding the equation of a rational function that has a vertical asymptote of x=2 and a horizontal asymptote of y=3 as its only asymptotesGive a graph of the rational function and label the coordinates of the stationary points and inflection points. Showthe horizontal and vertical asymptotes and label them with theirequations. Label point(s), if any, where the graph crosses a horizontal asymptote. Check your work with a graphing utility 2) (3x + 1)^2/(x − 1)^2
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