Precalculus Skills Practice Jump to a specific example Instructors Kathryn Boddie View bio Marisa Bjorland View bio Steps for Finding Intercepts, Asymptotes, Domain, and Range From the Graph of a Rational Function Step 1:Find all intercepts. The {eq}x {/eq}-inter...
Find the horizontal asymptote of the following: Like the previous example, this denominator has no zeroes, so there are no vertical asymptotes. Unlike the previous example, this function has degree-2 polynomials top and bottom; in particular, the degrees are the same in the numerator and the ...
AP Calculus AB Skills Practice Jump to a specific example Andrew Noble View bio Steps for How to Differentiate Vertical Asymptotes from Discontinuities Step 1:Factor the numerator and denominator if necessary. Step 2:For the denominator, identify the values of {eq}x {/eq} that make {eq}f...
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When we graph tangent functions, we see that the y-values have a range of negative infinity to positive infinity, with vertical asymptotes indicating where the graph has no points. I hope this review was helpful! Thanks for watching, and happy studying! “Introduction to the 6 Trigonometry ...
On graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines help us identify discontinuities. As before, graphs and tables allow us to estimate at best. When working with formulas, getting zero in the denominator indicates a point of discontinuity. ...
For graphing functions, we need to take care of domain, range, asymptotes, and holes. Also, we need to know at least two to three points on each part of the curve for graphing the function.