'Slant asymptote' presentation slideshows

Discussion

Discussion. X-intercepts. Notes. X-intercepts of Rational Function. To find the x- int of Rational Functions, set the numerator equal to zero and solve for x. Practice. Find all x-intercepts of each function. Discussion. y-intercepts. Notes. y-intercepts of Rational Function.

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Vertical

Sec 4.4: Curve Sketching. Horizontal. Asymptotes. Vertical. 1)Vertical Asymptotes 2) Horizontal Asymptotes 3) Slant Asymptotes. Slant or Oblique. called a slant asymptote because the vertical distance between the curve and the line approaches 0.

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2.6 Rational Functions

2.6 Rational Functions. Steps for Graphing guidelines. y-int. ( , ). 0. x-int. ( , ). none. let x = 0 to find y-int. Domain:. let y = 0 to find x-int.(s). where is g(x) undefined. Asymptote(s). if x is undefined at a number, there is a vertical asymptote

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Rational Functions

3.6: Rational Functions and Their Graphs. Rational Functions. Rational functions are quotients of polynomial functions. This means that rational functions can be expressed as

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Graphing Rational Functions

Graphing Rational Functions. What is a rational function?. or. Creating the graph. Put a vertical asymptote through the non-removable zeros of the denominator. (note: removable discontinuities get covered in calculus) Plot any horizontal or slant asymptotes.

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Graphing Rational Functions

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Bell Ringer 10-26-16

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2.7 Graphs of Rational Functions

2.7 Graphs of Rational Functions. Steps of Graphing. Find the domain of the function Simplify the function Find and plot the y-intercept by evaluating f(0) Find and plot the x-intercept by solving N(x) = 0 Find and graph the vertical asymptotes by solving D(x) = 0

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3.4 Notes

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2.6 Graphing Rational Functions p(x) and q(x) are polynomials and ? 0

2.6 Graphing Rational Functions p(x) and q(x) are polynomials and ? 0. To find the y-intercept of the graph, find f(0). The domain is related to the vertical asymptotes ! Find the values of q(x) that make the function undefined!.

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Rational Functions: Slant Asymptotes

Rational Functions: Slant Asymptotes.

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Slant Asymptotes

Slant Asymptotes. Consider a rational function whose denominator is of degree 1 or greater. If the degree of the numerator is exactly one more then the degree of the denominator, the graph of the function has a slant (or oblique) asymptote For example, the graph of. has a slant asymptote.

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Summary of Curve Sketching

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