The end behavior of the rational function is the horizontal asymptotey=2. Step 3:If the degree of the numerator is greater than the degree of the denominator, then there is a slant/oblique asymptote (if the degree of the numerator is exactly one larger than the degree of the denominator...
Evaluate: lim_{x \to\infty}\frac{-3x^3+2x^2-4x-1}{6x^3-3x^2+x}. Does this function have a horizontal asymptote? If so, what is its equation? Find the horizontal asymptote of y= (x+2)/(x-6), Determine the horizontal asymptote of each function (a) f (x) = {5 x^4 - ...
The asymptotes are easily determined if we know how to find the oblique, horizontal, or vertical asymptote. Now the vertical asymptote can be one or more than one. They are the tangents to the curve at an infinite point on the x-axis....
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Determine the vertical and horizontal asymptotes for the graph of f. f(x) = (3x - 5)/(2x^2 - x - 3) Can the graph of y = f(x) intersect a vertical asymptote? Can it intersect a horizontal asymptote? Illustrate by sketching graphs. How many horizontal asymptotes ...