Finding the slant asymptote: Divide the numerator by denominator by long division: x/2-13/4 (2x+5))x2-4x-5 x2+5x/2 45/4 Hence, The quotient in this dvision is The line, is the slant asymptote. Finding intercepts: The x-value for which F(x)=0 is the x-intercept. So putting...
Determine the horizontal asymptote of the following:f(x)=2x2x2+3x−4. Horizontal Asymptote: The horizontal asymptote of a rational function can be calculated under three conditions, one of which is when the numerator's highest degree equals the function's denominator's high...
In addition, a rational function could have its end behavior described using a horizontal asymptote. If it does not have a horizontal asymptote, it could have an asymptote represented by a polynomial of a higher degree, such as in the case of slant or parabolic asymptotes. An...
The end behavior of the rational function is the horizontal asymptote {eq}y = 2 {/eq}. 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 deg...
Justify your answer. The graph of f(x) = \frac{2x^3}{x+1} has a slant asymptote. Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. arcsin pi / 4 = {square root 2} / 2...
Explain why the function ='false' y = \sqrt {1 + x^2} has slant asymptote ='false' y = x. Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. The slope of ...
Determine whether the statement is true or false. Justify your answer. The graph of f(x) = \frac{2x^3}{x+1} has a slant asymptote. Determine whether the statement is true or false. If it is false, explain why or give an example th...
Find an equation of the slant asymptote. Do not sketch the curve. y=2x3+x2+x+3/x2+2x Find an equation of the slant asymptote. Do not sketch the curve. y = (5x^4 + x^2 + x)/(x^3 - x^2 + 2) Find an equation of the ...
Justify your answer. The graph of f(x) = \frac{2x^3}{x+1} has a slant asymptote. Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. arcsin pi / 4 = {square root 2} / 2...