- #1
xCanx
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How do you find the point where the graph crosses the oblique asymptote?
Unreasonable. The asymptote contains no point of the graph; the asymptote does not intercept the graph.xCanx said:I know how to find the oblique asymptote, but my question was how to find the point on the oblique asymptote where the graph crosses.
When it switches sides.
A rational expression is a fraction where the numerator and denominator are polynomials. It is also known as a rational function.
The graph of a rational expression is a set of points on a coordinate plane that represent the values of the expression for different input values. It can be a line, curve, or a combination of both.
To graph a rational expression, you can follow these steps:1. Simplify the expression if possible.2. Identify the vertical and horizontal asymptotes.3. Plot the intercepts by setting the numerator and denominator equal to zero.4. Choose additional points to plot.5. Connect the points with a smooth curve or line.
Asymptotes are important in the graph of a rational expression because they indicate where the graph will approach but never touch. Vertical asymptotes occur where the denominator is equal to zero, while horizontal asymptotes occur when the degree of the numerator is less than or equal to the degree of the denominator.
The domain of a rational expression is all the possible input values that make the expression defined. To find it, set the denominator equal to zero and solve for the variable. The range of a rational expression is all the possible output values. To find it, consider the behavior of the graph and use interval notation to express the range.